Examples of transverse homoclinic orbits in delay equations

DOI10.1016/0362-546X(86)90129-XzbMath0613.34060MaRDI QIDQ3754339

Xiao-Biao Lin, Jack K. Hale

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

examplestransverse homoclinic orbitscalar differential difference equations

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items

Persistence of Poincaré mappings in functional differential equations (with application to structural stability of complicated behavior) ⋮ Onset of chaos in differential delay equations ⋮ Floquet multipliers and secondary bifurcations in functional differential equations: Numerical and analytical results ⋮ Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for \(C^ 1\)-maps in Banach spaces ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Strange Attractors for Periodically Forced Parabolic Equations ⋮ Erratic solutions of simple delay equations

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