Symmetry breaking by power-law coupling

Abstract

• Symmetry breaking dynamics in a network of Rayleigh oscillators are explored. • Power-law type interaction induces amplitude chimera and oscillation death. • A novel transient behavior where amplitude chimeras and oscillation death states coexist is reported. • The occurrence of amplitude chimera is established using the theory of Floquet multipliers. We study the symmetry breaking phenomena in a network of Rayleigh oscillators coupled through power-law coupling whose interaction range is controlled by a power-law exponent. We show that in a broad range of the power-law exponent several symmetry-breaking states, such as amplitude chimeras and oscillation death are induced. Further, we observe an interesting transient behavior where amplitude chimeras and oscillation death states coexist. We establish the occurrence of the amplitude chimera using the theory of Floquet multipliers as well as other correlation measures. This paper deepens our understanding of the impact of power-law type interaction on symmetry-breaking states in a network of coupled oscillators.