Equivariant Hopf-Pitchfork Bifurcation of Symmetric Coupled Neural Network with Delay

DOI10.1142/S0218127416502059zbMath1352.34098OpenAlexW2549848455MaRDI QIDQ2953763

Haidong Yin, Baodong Zheng, Chun-Rui Zhang

Publication date: 6 January 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416502059

zbMATH Keywords

normal formequivariantHopf-pitchfork bifurcationcenter manifold methodsymmetric coupled neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Periodic solutions to functional-differential equations (34K13) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcation theory of functional-differential equations (34K18)

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Inter-layer synchronization of periodic solutions in two coupled rings with time delay ⋮ Stability and Hopf bifurcation periodic orbits in delay coupled Lotka-Volterra ring system ⋮ Bifurcation of a feed forward neural network with delay and application in image contrast enhancement ⋮ Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay ⋮ Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay ⋮ Stability and Hopf Bifurcation of a Reaction–Diffusion Neutral Neuron System with Time Delay

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