LYAPUNOV EXPONENTS AND COALESCENCE OF CHAOTIC TRAJECTORIES

Authors
LONGA L DIAS SP CURADO EMF
Citation
L. Longa et al., LYAPUNOV EXPONENTS AND COALESCENCE OF CHAOTIC TRAJECTORIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 259-263
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
1
Year of publication
1997
Part
A
Pages
259 - 263
Database
ISI
SICI code
1063-651X(1997)56:1<259:LEACOC>2.0.ZU;2-B
Abstract
Identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize. The synchronization process, which is a combi ned effect of the noise and of the deterministic part of the map, coul d show much more complex behavior than the one suggested by recent stu dies. In particular, it is demonstrated that when the noise couples th e states of an ensemble of identical systems the change of sign of the largest Lyapunov exponent of the ensemble is not necessarily connecte d with the synchronization.