A model in a coupled system of simple neural oscillators with delays

DOI10.1016/j.cam.2008.10.048zbMath1176.34087OpenAlexW1976798106MaRDI QIDQ1023331

Yazhuo Zhang, Chun-Rui Zhang, Baodong Zheng

Publication date: 11 June 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.10.048

zbMATH Keywords

stabilityneural networksperiodic solutionHopf bifurcationdelay differential equationcoupled oscillator theory

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

• Oscillator death in coupled functional differential equations near Hopf bifurcation
• Local bifurcation in symmetric coupled cell networks: linear theory
• Bifurcation and stability analysis of nonlinear waves in \(\mathbb {D}_n\) symmetric delay differential systems
• Specific locking in populations dynamics: symmetry analysis for coupled heteroclinic cycles
• Singularities and groups in bifurcation theory. Volume II
• Hopf bifurcating periodic orbits in a ring of neurons with delays
• Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
• Stability and bifurcation of a two-dimension discrete neural network model with multi-delays
• Coupling leads to chaos
• 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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