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Topological horseshoes and delay differential equations

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Publication:556489
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DOI10.3934/DCDS.2005.12.827zbMath1081.34072OpenAlexW2092561094MaRDI QIDQ556489

Piotr Zgliczyński, Klaudiusz Wójcik

Publication date: 21 June 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.12.827


zbMATH Keywords

covering relationsdelay equationssmall delayhorsehoes


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)


Related Items (3)

A Shilnikov phenomenon due to state-dependent delay, by means of the fixed point index ⋮ Chaos in Vallis' asymmetric Lorenz model for \textit{El Niño} ⋮ Covering relations, cone conditions and the stable manifold theorem







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