2020
DOI: 10.48550/arxiv.2001.07593
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Coupled Moebius Maps as a Tool to Model Kuramoto Phase Synchronization

Chen Chris Gong,
Ralf Toenjes,
Arkady Pikovsky

Abstract: We propose Möbius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of non-identical oscillators, chimeras in two coupled populations of identical phase oscillato… Show more

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