Chimeralike states in a network of oscillators under attractive and repulsive global coupling

TL;DR

This paper investigates the emergence of chimeralike states in networks of oscillators with mixed attractive and repulsive global coupling, revealing diverse chaotic and periodic behaviors across different oscillator models.

Contribution

It demonstrates the existence of various chimeralike states in different bistable and chaotic oscillator systems under combined global coupling, highlighting their diverse dynamical properties.

Findings

Chaotic and periodic chimeralike states observed in Lie9nard systems.

Metastable states with population migration identified.

Chimeralike states also found in van der Pol-Duffing and Rf6ssler systems.

Abstract

We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable Li\'{e}nard system; in one type, both the coherent and the incoherent populations are in chaotic states (called as chaos-chaos chimeralike states) and, in another type, the incoherent population is in periodic state while the coherent population has irregular small oscillation. Interestingly, we also recorded a metastable state in a parameter regime of the Li\'{e}nard system where the coherent and noncoherent states migrates from one to another population. To test the generality of the coupling configuration, we present another example of bistable system, the van der Pol-Duffing system where the chimeralike states are observed, however, the coherent population is periodic or quasiperiodic and the incoherent population is of chaotic in nature. Furthermore, we apply the coupling to a network of chaotic R\"ossler system where we find the chaos-chaos chimeralike states.