Transitions in Active Rotator Systems: Invariant Hyperbolic Manifold Approach

DOI10.1137/110846452zbMath1261.37036arXiv1106.0758OpenAlexW2144570667MaRDI QIDQ4907745

Giambattista Giacomin, Christophe Poquet, Xavier Pellegrin, Khashayar Pakdaman

Publication date: 22 February 2013

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

Full work available at URL: https://arxiv.org/abs/1106.0758

zbMATH Keywords

Fokker-Planck equation interacting diffusions normally hyperbolic manifolds pulsating waves neuronal models coupled excitable systems active rotator model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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