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Horseshoes and the Conley index spectrum. II: The theorem is sharp

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Publication:1576835
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DOI10.3934/dcds.1999.5.599zbMath0954.37009OpenAlexW2022888570MaRDI QIDQ1576835

Maria C. Carbinatto, Konstantin Mischaikow

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.3934/dcds.1999.5.599


zbMATH Keywords

horseshoeConley indexisolated invariant setsemiconjugacy


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)


Related Items (5)

Topological conjugacy for Lipschitz perturbations of non-autonomous systems ⋮ Chaotic behavior in differential equations driven by a Brownian motion ⋮ Topological horseshoes ⋮ Stretches across for chaos ⋮ Detection of renewal system factors via the Conley index




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