Synchronization induced by intermittent versus partial drives in chaotic systems

Details Synchronization induced by intermittent versus partial drives in chaotic systems Synchronization induced by intermittent versus partial drives in chaotic systems

Publishing date

2009-04-07

URL

arxiv.org/abs/0904.1050v1

Science

Nonlinear Sciences

Field

Chaotic Dynamics

Additional info

6 pages, 6 figures, accepted in IJBC

Type

Scientific paper

Abstract

We show that the synchronized states of two systems of identical chaotic maps subject to either, a common drive that acts with a probability p in time or to the same drive acting on a fraction p of the maps, are similar. The synchronization behavior of both systems can be inferred by considering the dynamics of a single chaotic map driven with a probability p. The synchronized states for these systems are characterized on their common space of parameters. Our results show that the presence of a common external drive for all times is not essential for reaching synchronization in a system of chaotic oscillators, nor is the simultaneous sharing of the drive by all the elements in the system. Rather, a crucial condition for achieving synchronization is the sharing of some minimal, average information by the elements in the system over long times.

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