Periodic Solutions and the Global Attractor in a System of Delay Differential Equations

DOI10.1137/080725283zbMath1229.34110OpenAlexW2065859134MaRDI QIDQ3078572

Yuming Chen, Taishan Yi, Jianhong Wu

Publication date: 28 February 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080725283

zbMATH Keywords

global attractordelay differential equationperiodic orbitPoincaré-Bendixson theoremdiscrete Lyapunov functional

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Periodic solutions to functional-differential equations (34K13)

Related Items (4)

Absence of small solutions and existence of Morse decomposition for a cyclic system of delay differential equations ⋮ Large-amplitude periodic solutions for differential equations with delayed monotone positive feedback ⋮ The period function of a delay differential equation and an application ⋮ Periodic solutions for a class of diffusive Nicholson's blowflies model with Dirichlet boundary conditions

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