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

¹Institute for Nonlinear Science, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0402, USA. lkocarev@ucsd.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 15, 2002

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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Abstract:

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