Synchronization induced by intermittent versus partial drives in chaotic systems

TL;DR

This paper demonstrates that synchronization in chaotic systems can be achieved through intermittent or partial drives, emphasizing the importance of shared average information rather than continuous or complete external influence.

Contribution

It introduces a unified approach to understanding synchronization under intermittent and partial driving, showing that a single driven map can predict the behavior of complex systems.

Findings

Synchronization occurs with intermittent or partial drives.

Shared average information is crucial for synchronization.

Synchronization can be predicted by a single driven map.

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.