The Bowen-Franks type theorems for multivalued maps and impulsive differential equations

DOI10.1016/J.TOPOL.2024.109080MaRDI QIDQ6659418

Pavel Ludvík, Jan Andres

Publication date: 9 January 2025

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

zbMATH Keywords

topological entropymultivalued mapsimpulsive differential equationsthe Bowen-Franks type theorems

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Entropy in general topology (54C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Boundary value problems with impulses for ordinary differential equations (34B37)

Cites Work

• Multiple local solutions to nonlinear control processes
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• The periodic points of maps of the disk and the interval
• Topological identification of multiple solutions to parametrized nonlinear equations
• Estimation of the number of periodic orbits
• A generalized Nielsen number and multiplicity results for differential inclusions
• The minimal number of periodic orbits of periods guaranteed in Sharkovskii's theorem
• Lower bounds of the topological entropy for continuous maps of the circle of degree one
• A Nielsen number for fixed points and near points of small multifunctions
• Nielsen Numbers of Maps of Tori
• Mappings of the Interval with Finitely Many Periodic Points Have Zero Entropy
• The specification property on a set-valued map and its inverse limit
• Chaos for Differential Equations with Multivalued Impulses
• Sharkovsky Ordering
• Topological entropy on set-valued functions
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces
• δ-Continuous Selections of Small Multifunction
• Homotopy for small multifunctions
• Dynamical systems generated by functions with connected \(G_\delta\) graphs
• Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case
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