Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions

DOI10.1142/S0218127418500566zbMath1392.37037OpenAlexW2801420312MaRDI QIDQ4643620

Karel Pastor, Jan Andres

Publication date: 25 May 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500566

zbMATH Keywords

scalar differential equations and inclusionsBlock-Sharkovsky type theoremcoexistence of periodic orbits on \(S^1\)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

Related Items (3)

A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle ⋮ Sharp Block–Sharkovsky Type Theorem for Multivalued Maps on the Circle and Its Application to Differential Equations and Inclusions ⋮ Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori

Cites Work

• Periodic orbits with least period three on the circle
• 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
• Sharkovsky-Type Theorems on S1 Applicable to Differential Equations
• 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
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