Multiple Chaotic Attractors in Coupled Lorenz Systems

TL;DR

This paper investigates the coexistence of multiple chaotic attractors in unidirectionally coupled Lorenz systems, revealing complex dynamics and extending findings to chains of systems with up to four attractors.

Contribution

It demonstrates the existence of multiple chaotic attractors in coupled Lorenz systems and extends the analysis to chains of three systems, highlighting complex attractor coexistence.

Findings

Double chaotic attractors coexist in coupled Lorenz systems.

Four chaotic attractors found in three coupled Lorenz systems.

Applicable methodology for chains of coupled Lorenz systems.

Abstract

Unidirectionally coupled Lorenz systems in which the drive possesses a chaotic attractor and the response admits two stable equilibria in the absence of the driving is under investigation. It is found that double chaotic attractors coexist in the dynamics. The approach is applicable for chains of coupled Lorenz systems. The existence of four chaotic attractors in three coupled Lorenz systems is also demonstrated.