Driving--induced bistability in coupled chaotic attractors

TL;DR

This paper investigates how driving interactions can induce bistability in coupled chaotic systems, revealing multiple stable attractors and phase synchrony, with robustness to noise, through numerical and analytical methods.

Contribution

It demonstrates the emergence of bistability and phase synchrony in coupled chaotic systems due to drive-induced symmetry effects, a novel insight into synchronization phenomena.

Findings

Multiple stable attractors coexist after generalized synchronization

Phase synchrony is established in coexisting attractors

Results are robust to external noise

Abstract

We examine the effects of symmetry--preserving and breaking interactions in a drive--response system where the response has an invariant symmetry in the absence of the drive. Subsequent to the onset of generalized synchronization, we find that there can be more than one stable attractor. Numerical, as well as analytical results establish the presence of phase synchrony in such coexisting attractors. These results are robust to external noise.