Filippov trajectories and clustering in the Kuramoto model with singular couplings

DOI10.4171/JEMS/1081zbMath1473.35543arXiv1809.04307MaRDI QIDQ2039603

Jinyeong Park, Juan Soler, David Poyato

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04307

zbMATH Keywords

clusteringHebbian learningfinite-time synchronizationstickingadaptive couplingsingular interactionsKuramoto modelsCucker-SmaleFilippov-type solutions

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) Discontinuous ordinary differential equations (34A36) Vlasov equations (35Q83) PDEs in connection with mechanics of particles and systems of particles (35Q70) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06) Singular hyperbolic equations (35L81)

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