Patterns and metastable states in the hysteretic behaviour of Kuramoto oscillators on simplices
ORAL
Abstract
We study the collective behavior and transition to synchronization of ensembles of Kuramoto oscillators based on simplicial structures. The oscillators exhibit hysteretic behaviour and abrupt transitions to synchronisation. The hysteresis loops show signatures of metastable states which are linked to distinctive patterns, such as splay states and clustered states. We examine the link between the metastable states and the patterns via the study of small simplicial complexes. The number of nodes, links and triangles shared between adjacent simplices controls the nature of the patterns and bifurcations seen. Our results are supported by the eigen-value analysis of these structures.
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Publication: Effect of hidden geometry and higher-order interactions on the synchronization and hysteresis behavior of phase oscillators on 5-clique simplicial assemblies, Samir Sahoo, Bosiljka Tadić, Malayaja Chutani, and Neelima Gupte<br>Phys. Rev. E 108, 034309.<br>Patterns and metastable states in the hysteretic behaviour of Kuramoto oscillators on simplices, Neelima Gupte and Samir Sahoo (planned)
Presenters
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Neelima M Gupte
Indian Institute of Technology, Madras
Authors
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Neelima M Gupte
Indian Institute of Technology, Madras
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Samir Sahoo
Dept of Physics, IIT Madras