Lyapunov Exponents, Noise-induced Synchronization, and Parrondo's Paradox

Overview

Journal Phys Rev E Stat Nonlin Soft Matter Phys

Publisher American Physical Society

Specialties Biophysics
Physiology
Public Health

Date 2002 May 15

PMID 12005984

Citations 4

Authors

Ljupco Kocarev

Zarko Tasev

Affiliations

Soon will be listed here.

Abstract

We show that Lyapunov exponents of a stochastic system, when computed for a specific realization of the noise process, are related to conditional Lyapunov exponents in deterministic systems. We propose to use the term stochastically induced regularity instead of noise-induced synchronization and explain the reason why. The nature of stochastically induced regularity is discussed: in some instances, it is a dynamical analog of Parrondo's paradox.

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