Chaotic motion generated by delayed negative feedback. I: A transversality criterion

zbMath0827.34059MaRDI QIDQ1891578

Hans-Otto Walther, Bernhard Lani-Wayda

Publication date: 13 July 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Floquet multipliersPoincaré mapsslowly oscillating periodic solutionsdelayed negative feedback

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Global dynamics of delay differential equations ⋮ Global dynamics of delay recruitment models with maximized lifespan ⋮ Floquet multipliers and secondary bifurcations in functional differential equations: Numerical and analytical results ⋮ Controlling Mackey–Glass chaos ⋮ Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations ⋮ Chaotic behavior in a class of delay difference equations ⋮ Chaotic Motion Generated by Delayed Negative Feedback Part II: Construction of Nonlinearities ⋮ On the floquet multipliers of periodic solutions to nonlinear functional differential equations ⋮ Chaos proved for a second-order difference differential equation ⋮ Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network ⋮ Erratic solutions of simple delay equations

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