Pattern formation in a symmetrical network with delay

DOI10.1016/J.NONRWA.2012.08.020zbMath1353.34087OpenAlexW2068447243MaRDI QIDQ1940733

Yuan Yuan, Jinyong Ying

Publication date: 7 March 2013

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.08.020

zbMATH Keywords

Hopf bifurcationrepresentation theorycenter manifold theorypitchfork bifurcationequivariant bifurcationnormal form method

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

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Symmetry, Hopf bifurcation, and the emergence of cluster solutions in time delayed neural networks ⋮ Codimension one and two bifurcations in a symmetrical ring network with delay

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