Synchronization of chaotic systems driven by identical noise

Abstract

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving with friction in the time-dependent potential and driven by the identical noise. The threshold values of the parameters for transition from chaotic to nonchaotic behavior are obtained and dependencies of the Lyapunov exponents and power spectral density of the current of the ensemble of particles on the nonlinearity of the systems and intensity of the driven force are analyzed.

LaTex, 8 pages, 8 PostScript figures

References in corpus (3)

• The Origin of Non-chaotic Behavior in Identically Driven Systems
• Transition to nonchaotic behavior in a Brownian-type motion
• On the 1/f fluctuations in the nonlinear systems affected by noise

Cited by in corpus (7)

• Analytical and Numerical Studies of Noise-induced Synchronization of Chaotic Systems
• Are generalized synchronization and noise--induced synchronization identical types of synchronous behavior of chaotic oscillators?
• Dynamical Effects from Asteroid Belts for Planetary Systems
• Bifurcation for Dynamical Systems of Planet-Belt Interaction
• Mechanisms Behind the Generalized Synchronization Conditions
• Coalescing Cellular Automata
• Models for generation 1/f noise