Nested set of periodic segments

DOI10.1016/j.topol.2023.108592OpenAlexW4376638598WikidataQ122980143 ScholiaQ122980143MaRDI QIDQ6053456

Klaudiusz Wójcik

Publication date: 27 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108592

zbMATH Keywords

fixed point indexsymbolic dynamicsLefschetz numberPoincaré mapperiodic segmentWażewski retract methodperiodic ODEs

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) Index theory for dynamical systems, Morse-Conley indices (37B30) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• A geometric method for detecting chaotic dynamics
• Hyperbolicity and averaging for the Srzednicki-Wójcik equation
• Topological approach to rigorous numerics of chaotic dynamical systems with strong expansion of error bounds
• Realization of all Dold's congruences with stability
• On solutions of two-point boundary value problems inside isolating segments
• Isolating segments, fixed point index, and symbolic dynamics
• A Conley index study of the evolution of the Lorenz strange set
• Unstable manifold, Conley index and fixed points of flows
• Relative Nielsen numbers, braids and periodic segments
• Distributional chaos via isolating segments
• Shape and Conley Index of Attractors and Isolated Invariant Sets
• Isolating segments and symbolic dynamics
• Chaos in the Lorenz equations: a computer-assisted proof
• Morse equations and unstable manifolds of isolated invariant sets
• Distributional chaos via semiconjugacy
• Isolated Invariant Sets and Isolating Blocks
• Isolating segments, fixed point index, and symbolic dynamics. II: Homoclinic solutions

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