Synchronization of Chaotic Systems by Common Random Forcing

Details Synchronization of Chaotic Systems by Common Random Forcing Synchronization of Chaotic Systems by Common Random Forcing

2000-02-29

arxiv.org/abs/nlin/0002054v1

Unsolved Problems of Noise and Fluctuations: UPoN'99. Edited by D. Abbot. AIP, (Melville NY, 2000)

Nonlinear Sciences

Chaotic Dynamics

5 pages, uses aipproc.cls and aipproc.sty (included). Five double figures are provided as ten separate gif files. Version with

Scientific paper

10.1063/1.59980

We show two examples of noise--induced synchronization. We study a 1-d map and the Lorenz systems, both in the chaotic region. For each system we give numerical evidence that the addition of a (common) random noise, of large enough intensity, to different trajectories which start from different initial conditions, leads eventually to the perfect synchronization of the trajectories. The largest Lyapunov exponent becomes negative due to the presence of the noise terms.

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