Conley index of Poincaré maps in isolating segments

DOI10.1016/j.na.2008.02.113zbMath1154.37315OpenAlexW2016604317MaRDI QIDQ1001887

Roman Srzednicki, Marian Mrozek

Publication date: 19 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.113

zbMATH Keywords

Conley indexisolated invariant setPoincaré mapbounded solutionisolating segment

Mathematics Subject Classification ID

Index theory for dynamical systems, Morse-Conley indices (37B30) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Bounded solutions of odd nonautonomous ODE ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment

Cites Work

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• Index pairs algorithms
• Homotopy and bounded solutions of ordinary differential equations
• Global continuation for bounded solutions of ordinary differential equations
• On periodic solutions of planar polynomial differential equations with periodic coefficients
• Generalized Lefschetz theorem and a fixed point index formula
• The Conley index over the circle
• Bifurcations of bounded solutions of 1-parameter ODE's
• The Conley index for discrete semidynamical systems
• Dynamical systems. Examples of complex behaviour
• A Topological Method for Bounded Solutions of Nonautonomous Ordinary Differential Equations
• Leray Functor and Cohomological Conley Index for Discrete Dynamical Systems
• Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
• Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs
• Dynamical systems, shape theory and the Conley index
• Shift equivalence and the Conley index

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