Synchronization in the identically driven systems

Details Synchronization in the identically driven systems Synchronization in the identically driven systems

1996-10-31

arxiv.org/abs/chao-dyn/9610020v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, LaTeX, 2 figures (included in text). Published in Intern. Conf. Nonlinearity, Bifurcations and Chaos, Lodz, September

Scientific paper

We investigate a transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces. We analyze the synchronization phenomenon in the ensemble of particles moving with friction in the time-dependent potential and driven by the identical noise. We define the threshold values of the parameters for transition from chaotic to nonchaotic behavior and investigate dependencies of the Lyapunov exponents and power spectral density on the nonlinearity of the systems and character of the driven force.

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