Chimera states in Star Networks

TL;DR

This paper demonstrates the widespread existence and robustness of chimera states in star networks of chaotic oscillators, both through simulations and analog circuit experiments, highlighting their prevalence in natural and engineered systems.

Contribution

It reveals the emergence and robustness of chimera states in star network topologies, a class of systems not extensively studied before.

Findings

Chimera states occur in star networks with various coupling types.

Large parameter regimes support chimera states from random initial conditions.

Chimera states are experimentally verified using analog circuits.

Abstract

We consider star networks of chaotic oscillators, with all end-nodes connected only to the central hub node, under diffusive coupling, conjugate coupling and mean-field type coupling. We observe the existence of chimeras in the end-nodes, which are identical in terms of the coupling environment and dynamical equations. Namely, the symmetry of the end-nodes is broken and co-existing groups with different synchronization features and attractor geometries emerge. Surprisingly, such chimera states are very wide-spread in this network topology, and large parameter regimes of moderate coupling strengths evolve to chimera states from generic random initial conditions. Further, we verify the robustness of these chimera states in analog circuit experiments. Thus it is evident that star networks provide a promising class of coupled systems, in natural or human-engineered contexts, where chimeras are prevalent.