Sharkovskii's theorem, differential inclusions, and beyond

DOI10.12775/TMNA.2009.011zbMath1189.34028OpenAlexW2515894017MaRDI QIDQ1029929

Jan Andres, Karel Pastor, Tomáš Fürst

Publication date: 14 July 2009

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2009.011

zbMATH Keywords

random periodic solutionscoexistence of infinitely many periodic solutionsdeterministic and random differential inclusionsmultivalued maps with monotone marginsno exceptionsPoincaré translation operatorsSharkovskii-type teorems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Set-valued operators (47H04) Ordinary differential inclusions (34A60) Generation, random and stochastic difference and differential equations (37H10) Combinatorial dynamics (types of periodic orbits) (37E15) Random nonlinear operators (47H40)

Related Items (7)

Stability of periodic orbits and return trajectories of continuous multi-valued maps on intervals ⋮ Period two implies chaos for a class of multivalued maps: a naive approach ⋮ The hidden unstable orbits of maps with gaps ⋮ Sharkovsky-Type Theorems on S1 Applicable to Differential Equations ⋮ Randomization of Sharkovskii-type theorems ⋮ Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions ⋮ Application of the randomized Sharkovsky-type theorems to random impulsive differential equations and inclusions

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