Zero singularities in a ring network with two delays

DOI10.1007/S00033-012-0247-3zbMath1284.34109OpenAlexW2036184563MaRDI QIDQ353368

Shangjiang Guo

Publication date: 12 July 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-012-0247-3

zbMATH Keywords

symmetrydelayhomoclinic orbitBogdanov-Takensring 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) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items (1)

BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The behavior of rings of coupled oscillators
• Symmetries and pattern selection in Rayleigh-Bénard convection
• A simple global characterization for normal forms of singular vector fields
• Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
• Singularities and groups in bifurcation theory. Volume II
• Elements of applied bifurcation theory.
• A subshift of finite type in the Takens-Bogdanov bifurcation with \(D_3\) symmetry
• Introduction to functional differential equations
• Stability and synchronization of a ring of identical cells with delayed coupling
• Singularities of vector fields
• Delay equations. Functional-, complex-, and nonlinear analysis
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
• MULTIPLE BIFURCATION ANALYSIS IN A NEURAL NETWORK MODEL WITH DELAYS
• PATTERNS OF OSCILLATION IN A RING OF IDENTICAL CELLS WITH DELAYED COUPLING
• Equivariant Hopf bifurcation for neutral functional differential equations
• Zero singularities of codimension two and three in delay differential equations
• The chemical basis of morphogenesis
• Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling

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