Heteroclinic dynamics of localized frequency synchrony: heteroclinic cycles for small populations

DOI10.1007/s00332-019-09552-5zbMath1431.34045arXiv1810.06715OpenAlexW3102855648WikidataQ127591449 ScholiaQ127591449MaRDI QIDQ2282795

Christian Bick

Publication date: 19 December 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06715

zbMATH Keywords

symmetryheteroclinic cycleoscillator networksphase oscillatorsweak chimerahigher-order interactions

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Networks beyond pairwise interactions: structure and dynamics ⋮ From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions ⋮ Multi-population phase oscillator networks with higher-order interactions ⋮ Chimera dynamics of generalized Kuramoto–Sakaguchi oscillators in two-population networks ⋮ Chaos in coupled heteroclinic cycles and its piecewise-constant representation ⋮ What Are Higher-Order Networks? ⋮ Heteroclinic dynamics of localized frequency synchrony: stability of heteroclinic cycles and networks ⋮ Almost complete and equable heteroclinic networks

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