# Chimera-like states in two distinct groups of identical populations of coupled Stuart-Landau oscillators

## TL;DR

This paper demonstrates the existence of chimera-like states in two groups of identical globally coupled Stuart-Landau oscillators, highlighting their dependence on frequency mismatch and initial conditions, and contrasting them with nonlocal coupling scenarios.

## Contribution

It reveals the conditions under which chimera-like states occur in two distinct populations of identical oscillators and compares these with nonlocal coupling cases, showing differences in multistability.

## Key findings

- Chimera-like states occur only for small frequency differences.
- States disappear as frequency mismatch increases.
- Multistability exists in globally coupled systems, but not in nonlocal coupling except in cluster states.

## Abstract

We show the existence of chimera-like states in two distinct groups of identical populations of globally coupled Stuart-Landau oscillators. The existence of chimera-like states occurs only for a small range of frequency difference between the two populations and these states disappear for an increase of mismatch between the frequencies. Here the chimera-like states are characterized by the synchronized oscillations in one population and desynchronized oscillations in another population. We also find that such states observed in two distinct groups of identical populations of nonlocally coupled oscillators are different from the above case in which coexisting domains of synchronized and desynchronized oscillations are observed in one population and the second population exhibits synchronized oscillations for spatially prepared initial conditions. Perturbation from such spatially prepared initial condition leads to the existence of imperfectly synchronized states. An imperfectly synchronized state represents the existence of solitary oscillators which escape from the synchronized group in population-I and synchronized oscillations in population-II. Also the existence of chimera state is independent of the increase of frequency mismatch between the populations. We also find the coexistence of different dynamical states with respect to different initial conditions which causes multistability in the globally coupled system. In the case of nonlocal coupling, the system does not show multistability except in the cluster state region.