\(Z_2 \times Z_3\) equivariant bifurcation in coupled two neural network rings

DOI10.1155/2014/971520zbMath1418.92012OpenAlexW2131888706WikidataQ59038624 ScholiaQ59038624MaRDI QIDQ2321562

Baodong Zheng, Haidong Yin

Publication date: 23 August 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/971520

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Multiple Hopf bifurcations of three coupled van der Pol oscillators with delay
• Local bifurcation in symmetric coupled cell networks: linear theory
• Dynamics of a delayed two-coupled oscillator with excitatory-to-excitatory connection
• Waves and patterns in ring lattices with delays
• A model in a coupled system of simple neural oscillators with delays
• Singularities and groups in bifurcation theory. Volume II
• Patterns in hierarchical networks of neuronal oscillators with \(\mathbb D_3\times \mathbb Z_3\) symmetry
• Coupling leads to chaos
• Delayed Coupling Between Two Neural Network Loops
• Elements of applied bifurcation theory

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