The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit

DOI10.1137/17M1134007zbMath1406.35096arXiv1706.03096OpenAlexW2962762179MaRDI QIDQ4640165

Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev

Publication date: 16 May 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03096

zbMATH Keywords

synchronizationcollective dynamicsmean field limitgraph limitsmall-world graphinteracting dynamical systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Initial value problems for nonlinear first-order PDEs (35F25) Theoretical approximation of solutions to integral equations (45L05) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Integro-partial differential equations (35R09)

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