On a multivalued version of the Sharkovskii theorem and its application to differential inclusions. II

DOI10.1007/s11228-004-8200-zzbMath1083.34010OpenAlexW2546687151MaRDI QIDQ1781005

Jan Andres, Karel Pastor, Libor Jüttner

Publication date: 15 June 2005

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-004-8200-z

zbMATH Keywords

periodic orbitsSharkovskii's theoremmulti-valued versionapplication to differential equations and inclusions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (8)

Periods 1 + 2 imply chaos in steep or nonsmooth maps ⋮ Period two implies all periods for a class of ODEs: A multivalued map approach ⋮ Period Three Implications for Expansive Maps in R^N ⋮ A version of Sharkovskii’s theorem for differential equations ⋮ The hidden unstable orbits of maps with gaps ⋮ Full analogy of Sharkovsky's theorem for lower semicontinuous maps ⋮ SHARKOVSKII'S THEOREM FOR CONNECTIVITY G_δ-RELATIONS ⋮ Period two implies chaos for a class of ODEs

Cites Work

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• On a multivalued version of the Sharkovskii theorem and its application to differential inclusions
• Period three plays a negative role in a multivalued version of Sharkovskii's theorem
• Multivalued mappings and Filippov's operation
• Period Three Implies Chaos

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