Super persistent transient in a master-slave configuration with Colpitts oscillators

TL;DR

This paper investigates chaos synchronization in master-slave Colpitts oscillator systems, revealing super persistent transients and how additive noise can suppress or extend chaos synchronization.

Contribution

It introduces the concept of super persistent transients in master-slave Colpitts oscillators and analyzes the impact of additive noise on chaos synchronization.

Findings

Super persistent transients exist in the coupled system.

Additive noise can suppress chaos synchronization.

Noise can also induce longer transients when synchronization persists.

Abstract

Master-slave systems have been intensively investigated to model the application of chaos to communications. We considered Colpitts oscillators coupled according to a master-slave configuration to study chaos synchronisation. We revealed the existence of super persistent transients in this coupled system. Moreover, we showed that an additive noise added to the slave system may suppress chaos synchronisation. When synchronisation is not suppressed, the noise induces longer transients.