Upper semicontinuity of Morse sets of a discretization of a delay-differential equation

DOI10.1006/jdeq.1998.3507zbMath0923.34065OpenAlexW2089558844MaRDI QIDQ1283979

Gwendolen Hines, Tomáš Gedeon

Publication date: 18 October 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2e62305aa5b1df74b0df4374105351bce9377e94

zbMATH Keywords

global attractorMorse decompositionnegative feedbackdiscrete delay problemupper semicontinuous sets

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (8)

A BRIEF SURVEY ON THE NUMERICAL DYNAMICS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Morse decompositions for periodic general dynamical systems and differential inclusions ⋮ Mapping dynamical systems with distributed time delays to sets of ordinary differential equations ⋮ Morse decompositions for nonautonomous general dynamical systems ⋮ Method of lines approximations of delay differential equations ⋮ Approximation of delays in biochemical systems ⋮ The Effects of Time-Varying Temperature on Delays in Genetic Networks ⋮ Upper semicontinuity of Morse sets of a discretization of a delay-differential equation: An improvement.

Cites Work

• The Poincaré-Bendixson theorem for monotone cyclic feedback systems
• Morse decompositions for delay-differential equations
• Structure of the global attractor of cyclic feedback systems
• Upper semicontinuity of the attractor with respect to parameter dependent delays
• Cyclic feedback systems
• Unnamed Item

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