Globally coupled systems with prescribed synchronized dynamics
Centro Atómico Bariloche and Instituto Balseiro,
8400 Bariloche, Río Negro, Argentina
Corresponding author: a firstname.lastname@example.org
Published online: 15 August 2000
A system of globally coupled maps whose synchronized dynamics differs from the individual (chaotic) evolution is considered. For nonchaotic synchronized dynamics, the synchronized state becomes stable at a critical coupling intensity lower than that of the fully chaotic case. Below such critical point, synchronization is also stable in a set of finite intervals. Moreover, the system is shown to exhibit multistability, so that even when the synchronized state is stable not all the initial conditions lead to synchronization of the ensemble.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Pq – Numerical simulations of chaotic models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000