Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system

DOI10.1063/1.4732543zbMath1319.34115OpenAlexW2036431430WikidataQ51316608 ScholiaQ51316608MaRDI QIDQ2944574

L. B. Ryashko, Irina Bashkirtseva, Guan-Rong Chen

Publication date: 2 September 2015

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

Full work available at URL: http://hdl.handle.net/10995/51196

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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

• Stochastic sensitivity of 3D-cycles
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Confidence tori in the analysis of stochastic 3D-cycles
• The influence of noise on the logistic model
• Stochastic Resonance
• ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM
• Coherence Resonance in a Noise-Driven Excitable System
• ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
• BIFURCATION ANALYSIS OF CHEN'S EQUATION

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