(Q38688778)

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:26739133%20AND%20SRC:MED&resulttype=core&format=json

4 March 2020

title

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience (English)

1 reference

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4 March 2020

1 reference

1

1 reference

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4 March 2020

Stephen Coombes

series ordinal

2

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4 March 2020

author name string

Rachel Nicks

series ordinal

3

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4 March 2020

publication date

6 January 2016

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:26739133%20AND%20SRC:MED&resulttype=core&format=json

Journal of mathematical neuroscience

4 March 2020

published in

1 reference

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4 March 2020

volume

6

1 reference

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4 March 2020

issue

1

1 reference

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4 March 2020

page(s)

2

1 reference

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Creative Commons Attribution 4.0 International

4 March 2020

copyright license

start time

6 January 2016

1 reference

April 2022 Public Data File from Crossref

copyright status

copyrighted

0 references

maintained by WikiProject

WikiProject Mathematics

0 references

exact match

https://scigraph.springernature.com/pub.10.1186/s13408-015-0033-6

0 references

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6 September 2017

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Nonlinear Dynamics of Neuronal Excitability, Oscillations, and Coincidence Detection.

6 September 2017

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Revealing a brain network endophenotype in families with idiopathic generalised epilepsy

6 September 2017

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6 September 2017

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Clustering in globally coupled oscillators near a Hopf bifurcation: theory and experiments

6 September 2017

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Key bifurcations of bursting polyrhythms in 3-cell central pattern generators

6 September 2017

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Chunking dynamics: heteroclinics in mind

6 September 2017

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Mode-locking neurodynamics predict human auditory brainstem responses to musical intervals.

6 September 2017

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Chimera states in mechanical oscillator networks

6 September 2017

1 reference

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Phase-amplitude descriptions of neural oscillator models

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neuromodulation of brain states

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Intrinsic heterogeneity in oscillatory dynamics limits correlation-induced neural synchronization

6 September 2017

1 reference

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The generation of phase differences and frequency changes in a network model of inferior olive subthreshold oscillations

6 September 2017

1 reference

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Computing with neural synchrony

6 September 2017

1 reference

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Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise.

6 September 2017

1 reference

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Emergence of structural patterns out of synchronization in networks with competitive interactions

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Modeling brain resonance phenomena using a neural mass model

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Information flow dynamics in the brain

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Generating macroscopic chaos in a network of globally coupled phase oscillators

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Role of local network oscillations in resting-state functional connectivity

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The role of phase synchronization in memory processes

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Emerging concepts for the dynamical organization of resting-state activity in the brain

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neurophysiological and Computational Principles of Cortical Rhythms in Cognition

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Mode-locked spike trains in responses of ventral cochlear nucleus chopper and onset neurons to periodic stimuli

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neural synchrony in cortical networks: history, concept and current status

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Coupling of mesoscopic brain oscillations: recent advances in analytical and theoretical perspectives

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Impulses and Physiological States in Theoretical Models of Nerve Membrane

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Model driven EEG/fMRI fusion of brain oscillations.

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neuronal synchrony: peculiarity and generality

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Extracting non-linear integrate-and-fire models from experimental data using dynamic I-V curves

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Reliability, synchrony and noise.

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Central pattern generators for locomotion control in animals and robots: a review

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Identification and classification of hubs in brain networks

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Engineering complex dynamical structures: sequential patterns and desynchronization.

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Propagating waves mediate information transfer in the motor cortex

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Dynamical characteristics common to neuronal competition models

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Phase-response curves give the responses of neurons to transient inputs

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Chimera States for Coupled Oscillators

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

6 September 2017

Motifs in brain networks

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neuronal oscillations in cortical networks

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A quantitative description of membrane current and its application to conduction and excitation in nerve

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Cortical coordination dynamics and the disorganization syndrome in schizophrenia

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Network motifs: simple building blocks of complex networks

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A spiking neuron model for binocular rivalry.

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

What geometric visual hallucinations tell us about the visual cortex

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Central pattern generators and the control of rhythmic movements

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Odor encoding as an active, dynamical process: experiments, computation, and theory

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Traveling electrical waves in cortex: insights from phase dynamics and speculation on a computational role

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Symmetry in locomotor central pattern generators and animal gaits.

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Odour encoding by temporal sequences of firing in oscillating neural assemblies

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Type I membranes, phase resetting curves, and synchrony

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchronization of cortical activity and its putative role in information processing and learning

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Voltage oscillations in the barnacle giant muscle fiber.

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A theoretical model of phase transitions in human hand movements

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A neural theory of binocular rivalry

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Rhythmogenic effects of weak electrotonic coupling in neuronal models

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Network symmetry and binocular rivalry experiments

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Multi-frequency activation of neuronal networks by coordinated reset stimulation

6 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The effects of cholinergic neuromodulation on neuronal phase-response curves of modeled cortical neurons

14 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Chimera states: the existence criteria revisited.

14 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Using computational models to relate structural and functional brain connectivity

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

On the Influence of Amplitude on the Connectivity between Phases

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Understanding cardiac alternans: a piecewise linear modeling framework

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Network model of spontaneous activity exhibiting synchronous transitions between up and down States

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Monitoring consciousness: the current status of EEG-based depth of anaesthesia monitors

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neuronal and glial membrane potentials during sleep and paroxysmal oscillations in the neocortex.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Intrinsic dynamics in neuronal networks. I. Theory

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Dynamics of strongly-coupled spiking neurons

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Cellular construction of a circadian clock: period determination in the suprachiasmatic nuclei.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The role of axonal delay in the synchronization of networks of coupled cortical oscillators.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchronization properties of spindle oscillations in a thalamic reticular nucleus model.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchrony measures for biological neural networks.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Instability and dynamic pattern in cellular networks

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Excitatory and inhibitory interactions in localized populations of model neurons

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The behavior of rings of coupled oscillators.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Mechanisms of sinoatrial pacemaker synchronization: a new hypothesis

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Oscillatorylike behavior in feedforward neuronal networks.

23 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Cross-frequency transfer in a stochastically driven mesoscopic neuronal model

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Weak chimeras in minimal networks of coupled phase oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Multicluster and traveling chimera states in nonlocal phase-coupled oscillators

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Cluster synchronization and isolated desynchronization in complex networks with symmetries.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Controlling unstable chaos: stabilizing chimera states by feedback.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A transition to sharp timing in stochastic leaky integrate-and-fire neurons driven by frozen noisy input

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Phase and amplitude dynamics in large systems of coupled oscillators: growth heterogeneity, nonlinear frequency shifts, and cluster states

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Remote synchronization reveals network symmetries and functional modules.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The robustness of phase-locking in neurons with dendro-dendritic electrical coupling.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Computation by switching in complex networks of states.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Adjoint method provides phase response functions for delay-induced oscillations.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The dynamics of neurological disease: integrating computational, experimental and clinical neuroscience

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Seizure generation: the role of nodes and networks

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Criteria for robustness of heteroclinic cycles in neural microcircuits.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Hierarchical synchrony of phase oscillators in modular networks.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Limitations of perturbative techniques in the analysis of rhythms and oscillations

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Chaos in symmetric phase oscillator networks.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Cluster synchrony in systems of coupled phase oscillators with higher-order coupling

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Neural mass activity, bifurcations, and epilepsy.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Chimera states are chaotic transients.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Loss of coherence in dynamical networks: spatial chaos and chimera states.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchrony and asynchrony for neuronal dynamics defined on complex networks.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Phase resetting of collective rhythm in ensembles of oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Cascade-induced synchrony in stochastically driven neuronal networks.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Self-organization in predominantly feedforward oscillator chains.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Stochastic phase reduction for a general class of noisy limit cycle oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Hypotheses on the functional roles of chaotic transitory dynamics.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Spatiotemporal coding of inputs for a system of globally coupled phase oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

From networks of unstable attractors to heteroclinic switching

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Delays in activity-based neural networks

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Polyrhythmic synchronization in bursting networking motifs.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Phase reduction of stochastic limit cycle oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Solvable model for chimera states of coupled oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Sparsely synchronized neuronal oscillations

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Episodic activity in a heterogeneous excitatory network, from spiking neurons to mean field.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Simple model of spiking neurons

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchronization of excitatory neurons with strongly heterogeneous phase responses.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Minimal physiological conditions for binocular rivalry and rivalry memory.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Phase resetting curves and oscillatory stability in interneurons of rat somatosensory cortex

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Gap junctions destroy persistent states in excitatory networks.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Coarse graining the dynamics of coupled oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Control of neuronal synchrony by nonlinear delayed feedback.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Computation of the phase response curve: a direct numerical approach.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Diffusion-induced inhomogeneity in globally coupled oscillators: swing-by mechanism.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Heteroclinic synchronization: ultrasubharmonic locking.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Encoding via conjugate symmetries of slow oscillations for globally coupled oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Desynchronization waves and localized instabilities in oscillator arrays.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

On the phase reduction and response dynamics of neural oscillator populations

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Enhancement of neural synchrony by time delay.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A neural mass model for MEG/EEG: coupling and neuronal dynamics

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Slow switching in a population of delayed pulse-coupled oscillators

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Electrical synapses and synchrony: the role of intrinsic currents.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Dynamics of spiking neurons connected by both inhibitory and electrical coupling

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Synchrony-dependent propagation of firing rate in iteratively constructed networks in vitro

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Unstable attractors induce perpetual synchronization and desynchronization.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Attractor reliability reveals deterministic structure in neuronal spike trains

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A spatially continuous mean field theory of electrocortical activity.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Observations and modeling of synchronized bursting in two-dimensional neural networks

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Patterns of synchrony in neural networks with spike adaptation

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Phase diagram for the Winfree model of coupled nonlinear oscillators.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

A population density approach that facilitates large-scale modeling of neural networks: extension to slow inhibitory synapses

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Period-adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Simplified dynamics of human and mammalian neocortical neurons

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

When inhibition not excitation synchronizes neural firing

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model.

31 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=4703605

Frequency locking in Josephson arrays: Connection with the Kuramoto model

31 August 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Über das Elektrenkephalogramm des Menschen

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Synchronization in complex networks

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Complex networks: Structure and dynamics

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Networks: An introduction

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Nonlinear dynamics of networks: the groupoid formalism

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Master Stability Functions for Synchronized Coupled Systems

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Synchronization of Pulse-Coupled Biological Oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Isochrons and phaseless sets.

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Strange Attractors with One Direction of Instability

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

The Kuramoto model: A simple paradigm for synchronization phenomena

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Clustering and slow switching in globally coupled phase oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Constants of motion for superconducting Josephson arrays

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Coupled nonlinear oscillators and the symmetries of animal gaits

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Nonsmooth dynamics in spiking neuron models

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

The dynamics ofn weakly coupled identical oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Heteroclinic Networks in Coupled Cell Systems

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Heteroclinic Ratchets in Networks of Coupled Oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

On designing heteroclinic networks from graphs

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Discrete computation using a perturbed heteroclinic network

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Effects of noise in excitable systems

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Nonuniversal Transitions to Synchrony in the Sakaguchi-Kuramoto Model

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

A low-dimensional model of binocular rivalry using winnerless competition

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Synchronization and desynchronization of self-sustained oscillators by common noise

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Dynamics of Limit-Cycle Oscillators Subject to General Noise

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Antireliability of noise-driven neurons

21 January 2018

1 reference

https://api.crossref.org/works/10.1186%2FS13408-015-0033-6

Synchronization induced by temporal delays in pulse-coupled oscillators

21 January 2018

1 reference

12 December 2020

Dephasing and bursting in coupled neural oscillators

1 reference

12 December 2020

Analysis of the asynchronous state in networks of strongly coupled oscillators

1 reference

12 December 2020

Physics of the rhythmic applause

1 reference

12 December 2020

Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling

1 reference

12 December 2020

Synchronization of diffusively coupled oscillators near the homoclinic bifurcation

1 reference

12 December 2020

Spatiotemporal coherence resonance of phase synchronization in weakly coupled chaotic oscillators

1 reference

12 December 2020

Stable heteroclinic cycles for ensembles of chaotic oscillators

1 reference

12 December 2020

Threshold, excitability and isochrones in the Bonhoeffer-van der Pol system

1 reference

12 December 2020

1 reference

12 December 2020

Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling

1 reference

12 December 2020

On the nature of the fundamental activity of the nervous centres; together with an analysis of the conditioning of rhythmic activity in progression, and a theory of the evolution of function in the nervous system

1 reference

12 December 2020

Noise-induced turbulence in nonlocally coupled oscillators

1 reference

12 December 2020

Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators

1 reference

12 December 2020

Sensitive signal detection using a feed-forward oscillator network

1 reference

12 December 2020

Network synchronization of groups

1 reference

12 December 2020

Bistable chimera attractors on a triangular network of oscillator populations

1 reference

12 December 2020

Different roles for homologous interneurons in species exhibiting similar rhythmic behaviors

1 reference

12 December 2020

Breakdown of order preservation in symmetric oscillator networks with pulse-coupling

1 reference

12 December 2020

Correlation transfer in stochastically driven neural oscillators over long and short time scales

1 reference

12 December 2020

Phase description of stochastic oscillations

1 reference

12 December 2020

Hysteretic transitions in the Kuramoto model with inertia

1 reference

12 December 2020

Biological rhythms and the behavior of populations of coupled oscillators

1 reference

12 December 2020

Reliability of spike timing in neocortical neurons

1 reference

12 December 2020

Partial synchronization in populations of pulse-coupled oscillators

1 reference

12 December 2020

10.1186/S13408-015-0033-6

Identifiers

DOI

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:26739133%20AND%20SRC:MED&resulttype=core&format=json

4 March 2020

1 reference

Dimensions Publication ID

0 references

0 references

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:26739133%20AND%20SRC:MED&resulttype=core&format=json

4 March 2020

PubMed publication ID

26739133

1 reference

https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=EXT_ID:26739133%20AND%20SRC:MED&resulttype=core&format=json