Stability switches and bifurcation analysis in a coupled neural system with multiple delays
作者： JuHong Ge , Jian Xu
DOI: 10.1007/S11431-016-6035-0
关键词: Pitchfork bifurcation 、 Periodic function 、 Equilibrium point 、 Mathematics 、 Stability (probability) 、 Neural system 、 Control theory 、 Applied mathematics 、 Point (geometry) 、 Coupling 、 Characteristic equation
摘要: A coupled neural system with multiple delays has been investigated. The number of equilibrium points is analyzed. It implies that the exhibits a unique and three ones for different values coupling weight by employing pitchfork bifurcation trivial point. Further, local asymptotical stability point studied analyzing corresponding characteristic equation. Some criteria involving are obtained. results show delay-independent delay-dependent stability. Increasing delay induces switching between resting state periodic motion in some parameter regions weight. In addition, criterion global also derived constructing suitable Lyapunov functional. Finally, numerical simulations taken to support theoretical results.
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