Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics

DOI10.1137/130915637zbMath1310.34107OpenAlexW1976666676MaRDI QIDQ2940723

Gábor Orosz

Publication date: 20 January 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8d0f0356cfee0a2f6ae06bcc091f6697a1a8cbf6

zbMATH Keywords

stabilitytime delaydecompositionHopf bifurcationsFloquet theoryclustering dynamicsneural oscillations

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19) Biological rhythms and synchronization (92B25)

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