Bautin bifurcation analysis for synchronous solution of a coupled FHN neural system with delay

DOI10.1016/J.CNSNS.2009.04.006zbMath1221.34188OpenAlexW2085345434MaRDI QIDQ718125

Jian Xu, Bin Zhen

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.04.006

zbMATH Keywords

time delaynonlinear dynamicsBautin bifurcationcoupled FHN neural system

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

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• BIFURCATIONS DUE TO SMALL TIME-LAG IN COUPLED EXCITABLE SYSTEMS
• On the Bautin bifurcation for systems of delay differential equations
• Elements of applied bifurcation theory

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