Periodic orbits with least period three on the circle

DOI10.1155/2008/194875zbMath1144.37434OpenAlexW2082880914WikidataQ59213920 ScholiaQ59213920MaRDI QIDQ937559

Xuezhi Zhao

Publication date: 15 August 2008

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54466

zbMATH Keywords

periodic orbitscircle mapSharkovskii's theoremhomotopy-conjugacy classes

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (10)

A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle ⋮ Coexistence of Random Subharmonic Solutions of Random Impulsive Differential Equations and Inclusions on a Circle ⋮ Coexistence of subharmonic periodic solutions having various periods of differential inclusions on the circle with admissible impulses of degrees \(D=-1,0,1\) ⋮ Randomization of Sharkovsky-type results on the circle ⋮ Sharkovsky-Type Theorems on S1 Applicable to Differential Equations ⋮ Coexistence of periodic solutions with various periods of impulsive differential equations and inclusions on tori via Poincaré operators ⋮ Nielsen number, impulsive differential equations and problem of Jean Leray ⋮ Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions ⋮ 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

• Estimation of the number of fixed points on the complement
• Canonical representatives for patterns of tree maps
• Nielsen numbers for based maps, and for noncompact spaces
• Periods of Periodic Points of Maps of the Circle which Have a Fixed Point
• Period Three Implies Chaos
• THIRTY YEARS AFTER SHARKOVSKIĬ'S THEOREM
• On minimal fixed point numbers of relative maps

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