From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions

Abstract

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Heteroclinic cycles and chaos in a system of four identical phase oscillators with global biharmonic coupling

“…In subsequent works, introducing higher harmonics [BTP + 11] into the coupling function or non-pairwise interactions [BAR16] lead to new examples of chaotic dynamics in systems of four oscillators. A vast literature review in recent papers [Bur20,ABR22] still does not mention that there are any numerical evidences of chaotic dynamics in a system of four identical globally coupled phase oscillators with a biharmonic coupling function. This work is based on the observations presented in [BAR16,GO18].…”