Symmetry breaking by power-law coupling

Biswabibek Bandyopadhyay, Taniya Khatun, Partha Sharathi Dutta and Tanmoy Banerjee

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: 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.

Keywords: Symmetry breaking; Power-law interaction; Chimera states; Oscillation death; Amplitude chimeras (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920306858

DOI: 10.1016/j.chaos.2020.110289

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