Noise induced escape from a nonhyperbolic chaotic attractor of a periodically driven nonlinear oscillator

DOI10.1063/1.4954028zbMath1374.34154OpenAlexW2439560906WikidataQ51272468 ScholiaQ51272468MaRDI QIDQ4591835

Zhen Chen, Yang Li, Xian-bin Liu

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4954028

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

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Cites Work

• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Random perturbations of dynamical systems and diffusion processes with conservation laws
• A scaling theory of bifurcations in the symmetric weak-noise escape problem.
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• Homoclinic tangencies and non-normal Jacobians-effects of noise in nonhyperbolic chaotic systems
• Observable and hidden singular features of large fluctuations in nonequilibrium systems
• GLOBAL ANALYSIS OF DYNAMICAL SYSTEMS USING POSETS AND DIGRAPHS
• OPTIMAL FLUCTUATIONS AND THE CONTROL OF CHAOS

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