A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle

DOI10.1142/S0218127418501420zbMath1403.37033OpenAlexW2898600357MaRDI QIDQ4555019

Jan Andres, Karel Pastor

Publication date: 19 November 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418501420

zbMATH Keywords

randomizationapplication to differential equations and inclusionscoexistence of subharmonicsmultivalued versionBlock-Sharkovsky type theoremcombinatorial dynamics on circle

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Ordinary differential inclusions (34A60) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (1)

Sharp Block–Sharkovsky Type Theorem for Multivalued Maps on the Circle and Its Application to Differential Equations and Inclusions

Cites Work

• Random topological degree and random differential inclusions
• Periodic orbits with least period three on the circle
• On the notion of derivo-periodicity
• On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory
• A multivalued version of Sharkovskiĭ's theorem holds with at most two exceptions
• Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions
• Randomization of Sharkovsky-type results on the circle
• Sharkovsky-Type Theorems on S1 Applicable to Differential Equations
• A Note on the Set of Periods for Continuous Maps of the Circle Which have Degree One
• Periods of Periodic Points of Maps of the Circle which Have a Fixed Point
• Periodic orbits of continuous mappings of the circle without fixed points
• Periodic Orbits of Continuous Mappings of the Circle
• Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions
• Randomization of Sharkovskii-type theorems
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