Lyapunov exponents, noise-induced synchronization, and Parrondo’s paradox

DOI10.1103/PhysRevE.65.046215zbMath1244.34084OpenAlexW2016865096WikidataQ46024793 ScholiaQ46024793MaRDI QIDQ2903434

Z. Tasev, Ljupčo Kocarev

Publication date: 9 August 2012

Published in: Physical Review E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physreve.65.046215

zbMATH Keywords

Lyapunov exponentsParrondo's paradox

Mathematics Subject Classification ID

General theory of stochastic processes (60G07) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Chaos control for problems involving ordinary differential equations (34H10)

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Cites Work

• Transition to chaos for random dynamical systems
• Stochastically induced coherence in bistable systems
• Coherence Resonance in a Noise-Driven Excitable System
• Synchronization in chaotic systems