(Q52020525)

19 April 2018

title

Noise-induced unstable dimension variability and transition to chaos in random dynamical systems. (English)

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19 April 2018

1

Ying-Cheng Lai

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19 April 2018

Zonghua Liu

2

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19 April 2018

Lora Billings

series ordinal

3

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19 April 2018

Ira B Schwartz

series ordinal

4

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19 April 2018

language of work or name

English

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publication date

19 February 2003

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19 April 2018

published in

Physical Review E

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19 April 2018

volume

67

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19 April 2018

issue

2 Pt 2

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19 April 2018

page(s)

026210

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19 April 2018

Modulated nonlinear processes and a novel mechanism to induce chaos

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Exciting chaos with noise: unexpected dynamics in epidemic outbreaks.

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Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

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From generalized synchrony to topological decoherence: emergent sets in coupled chaotic systems.

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Mechanisms for the development of unstable dimension variability and the breakdown of shadowing in coupled chaotic systems.

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Transition to chaos in continuous-time random dynamical systems.

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Deterministic Nonperiodic Flow

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Coherence resonance in coupled chaotic oscillators.

21 January 2018

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Perturbed on-off intermittency.

21 January 2018

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Phase-space transport of stochastic chaos in population dynamics of virus spread.

21 January 2018

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Controlling chaos in the brain.

21 January 2018

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A proposed name for aperiodic brain activity: stochastic chaos

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Mesoscopic neurodynamics: from neuron to brain

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Biocomplexity: adaptive behavior in complex stochastic dynamical systems

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How Long Do Numerical Chaotic Solutions Remain Valid?

21 January 2018

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Product of random matrices in a microcanonical ensemble

21 January 2018

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Chaotic transition of random dynamical systems and chaos synchronization by common noises

21 January 2018

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Obstructions to shadowing when a Lyapunov exponent fluctuates about zero

21 January 2018

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21 January 2018

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Unexpected robustness against noise of a class of nonhyperbolic chaotic attractors

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21 January 2018

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21 January 2018

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Generalized dimensions of strange attractors

21 January 2018

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Fractal measures and their singularities: The characterization of strange sets

21 January 2018

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Fractal dimensions of chaotic saddles of dynamical systems

21 January 2018

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An equation for hyperchaos

21 January 2018

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On-off intermittency: A mechanism for bursting

21 January 2018

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Intermingled basins and two-state on-off intermittency

21 January 2018

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Blowout Bifurcation Route to Strange Nonchaotic Attractors

21 January 2018

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Characterization of on-off intermittency

21 January 2018

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Effects of additive noise on on-off intermittency

21 January 2018

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Nonlinear dynamics, fractals and chaos: applications to cardiac electrophysiology

21 January 2018

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Patterns of beat-to-beat heart rate variability in advanced heart failure

21 January 2018

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Preserving chaos: Control strategies to preserve complex dynamics with potential relevance to biological disorders

21 January 2018

1 reference

https://api.crossref.org/works/10.1103%2FPHYSREVE.67.026210

10.1103/PHYSREVE.67.026210

21 January 2018

Identifiers

DOI

1 reference

19 April 2018

ADS bibcode

2003PhRvE..67b6210L

0 references

1 reference

19 April 2018