Morse decomposition for delay-differential equations with positive feedback

DOI10.1016/S0362-546X(00)00191-7zbMath1003.34065MaRDI QIDQ5956090

Mónika Polner

Publication date: 12 January 2003

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

zbMATH Keywords

global attractorLyapunov functionalMorse decompositionpositive feedback

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (8)

Global dynamics of delay differential equations ⋮ The unstable set of a periodic orbit for delayed positive feedback ⋮ Absence of small solutions and existence of Morse decomposition for a cyclic system of delay differential equations ⋮ Morse decompositions for delay-difference equations ⋮ Metastable periodic patterns in singularly perturbed state-dependent delayed equations ⋮ Morse decompositions for nonautonomous general dynamical systems ⋮ Large-amplitude periodic solutions for differential equations with delayed monotone positive feedback ⋮ Metastable periodic patterns in singularly perturbed delayed equations

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