Chimera state in a network of nonlocally coupled impact oscillators

Chimera state is a peculiar spatiotemporal pattern, wherein the coherence and incoherence coexist in the network of coupled identical oscillators. In this paper, we study the chimera states in a network of impact oscillators with nonlocal coupling. We investigate the effects of the coupling strength and the coupling range on the network behavior. The results reveal the emergence of the chimera state for significantly small values of coupling strength, and higher coupling strength values lead to unbounded motions in the oscillators. We also study the network in the case of excitation failure. We observe that the coupling helps in the maintenance of an oscillatory motion with a lower amplitude in the failed oscillator.

Automated summary

This paper investigates the chimera states in a network of impact oscillators with nonlocal coupling, finding that the coupling strength and range affect the emergence of chimera states. The study also shows that coupling can help maintain oscillatory motion with lower amplitude in the case of excitation failure.