Pulsed chaos synchronization in networks with adaptive couplings

TL;DR

This paper investigates how adaptive couplings influence chaos synchronization in networks, revealing that dynamic adjustments prevent steady states and lead to intermittent, multi-scale synchronized pulses.

Contribution

It introduces a model of adaptive couplings in chaotic networks and demonstrates their impact on synchronization patterns through numerical simulations.

Findings

Adaptive couplings prevent steady-state synchronization.

Networks exhibit intermittent, multi-scale synchronized pulses.

Small synchronized groups can trigger large synchronized clusters.

Abstract

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities of its two units by two competing mechanisms: An exponential decrease of the coupling strength is compensated by an increase due to de-synchronized activity. This mechanism prevents the network from reaching a steady state. Numerical simulations of a coupled map lattice show chaotic trajectories of de-synchronized units interrupted by pulses of mutually synchronized clusters. These pulses occur on all scales, sometimes extending to the entire network. Clusters of synchronized units can be triggered by a small group of synchronized units.