Neimark-Sacker bifurcation for periodic delay differential equations

DOI10.1016/j.na.2004.08.043zbMath1064.34058OpenAlexW2020182805WikidataQ64023140 ScholiaQ64023140MaRDI QIDQ1764856

Gergely Röst

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.043

zbMATH Keywords

bifurcationdelay differential equationsperiodiccentral manifold

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

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Cites Work

• Applications of centre manifold theory
• Elements of applied bifurcation theory.
• Bifurcations and nondegenerated conditions of higher degree and a new simple proof of the Hopf-Neimark-Sacker bifurcation theorem
• Introduction to functional differential equations
• Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
• Contracting return maps for monotone delayed feedback.
• Delay equations. Functional-, complex-, and nonlinear analysis
• Normal forms for periodic retarded functional differential equations
• Symmetric functional differential equations and neural networks with memory
• Erratic solutions of simple delay equations
• The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Unique periodic orbits for delayed positive feedback and the global attractor
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