Send to

Choose Destination
See comment in PubMed Commons below
Chaos. 2001 Sep;11(3):665-673.

Analytical and numerical studies of noise-induced synchronization of chaotic systems.

Author information

  • 1Instituto Mediterraneo de Estudios Avanzados, IMEDEA, CSIC-UIBDepartament de Fisica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain.


We study the effect that the injection of a common source of noise has on the trajectories of chaotic systems, addressing some contradictory results present in the literature. We present particular examples of one-dimensional maps and the Lorenz system, both in the chaotic region, and give numerical evidence showing that the addition of a common noise to different trajectories, which start from different initial conditions, leads eventually to their perfect synchronization. When synchronization occurs, the largest Lyapunov exponent becomes negative. For a simple map we are able to show this phenomenon analytically. Finally, we analyze the structural stability of the phenomenon. (c) 2001 American Institute of Physics.

[PubMed - as supplied by publisher]
PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Full text links

    Icon for American Institute of Physics
    Loading ...
    Support Center