Impulse-induced localized control of chaos in starlike networks

TL;DR

This paper demonstrates that locally reducing the impulse of periodic pulses can effectively control chaos in starlike networks of nonlinear oscillators, leading to synchronized states or oscillation death, with analysis of the underlying physical mechanisms.

Contribution

It introduces a novel method of chaos control in oscillator networks by locally decreasing pulse impulse, supported by theoretical analysis.

Findings

Decreasing pulse impulse can suppress chaos in networks.

Control effectiveness depends on node connectivity and number.

Theoretical explanation of the chaos-control mechanism.

Abstract

Locally decreasing the impulse transmitted by periodic pulses is shown to be a reliable method of taming chaos in starlike networks of dissipative nonlinear oscillators, leading to both synchronous periodic states and equilibria (oscillation death). Specifically, the paradigmatic model of damped kicked rotators is studied in which it is assumed that when the rotators are driven synchronously, i.e., all driving pulses transmit the same impulse, the networks display chaotic dynamics. It is found that the taming effect of decreasing the impulse transmitted by the pulses acting on particular nodes strongly depends on their number and degree of connectivity. A theoretical analysis is given explaining the basic physical mechanism as well as the main features of the chaos-control scenario.