title: Analytical and numerical studies of noise-induced synchronization of chaotic systems.
abstract: 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.
authors.affiliation: Instituto Mediterraneo de Estudios Avanzados, IMEDEA, CSIC-UIBDepartament de Fisica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain.
authors.forename: Raul
authors.initials: R
authors.lastname: Toral
authors.forename: Claudio R.
authors.initials: CR
authors.lastname: Mirasso
authors.forename: Emilio
authors.initials: E
authors.lastname: Hernandez-Garcia
authors.forename: Oreste
authors.initials: O
authors.lastname: Piro