Analytical and numerical studies of noise-induced synchronization of chaotic systems

DOI10.1063/1.1386397zbMath0983.65135arXivnlin/0104044OpenAlexW2044146607WikidataQ61606456 ScholiaQ61606456MaRDI QIDQ2740855

Emilio Hernández-García, Claudio R. Mirasso, Oreste Piro, Raúl Toral

Publication date: 25 October 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0104044

zbMATH Keywords

structural stabilityLorenz systemchaotic systemsLyapunov exponentnoise-induced synchronization

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Cites Work

• Attractors of a randomly forced electronic oscillator.
• Synchronizing multiple chaotic maps with a randomized scalar coupling.
• Generation of Gaussian distributed random numbers by using a numerical inversion method
• Communicating with noise: How chaos and noise combine to generate secure encryption keys
• Transition to chaos for random dynamical systems
• Coherence Resonance in a Noise-Driven Excitable System
• SYNCHRONIZATION OF CHAOTIC SYSTEMS DRIVEN BY IDENTICAL NOISE

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