Bifurcation in \(Z_{2}\)-symmetry quadratic polynomial systems with delay

DOI10.1016/j.chaos.2009.04.009zbMath1198.34147OpenAlexW2052575291MaRDI QIDQ603574

Baodong Zheng, Chun-Rui Zhang

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.04.009

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Remarks on bifurcations with symmetry.
• Singularities and groups in bifurcation theory. Volume II
• Hopf bifurcating periodic orbits in a ring of neurons with delays
• Restrictions and unfolding of double Hopf bifurcation in functional differential equations
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Complex dynamics in discrete delayed models with \(\mathbb D _4\) symmetry
• Dynamics in a delayed-neural network
• On limit cycles of the Liénard equation with \(Z_2\) symmetry
• Symmetric functional differential equations and neural networks with memory
• Theory and applications of Hopf bifurcations in symmetric functional differential equations
• Elements of applied bifurcation theory

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