Randomization of Sharkovsky-type results on the circle

DOI10.1142/S0219493717500174zbMath1362.37083OpenAlexW2345825497MaRDI QIDQ2977581

Jan Andres

Publication date: 18 April 2017

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493717500174

zbMATH Keywords

randomizationNielsen numberLefschetz numberSharkovsky-type theoremscircle self-mapscoexistence of random periodic orbitsforcing propertyrandom multivalued mapsrelative homotopy-conjugation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Dynamical systems involving maps of the circle (37E10) Random operators and equations (aspects of stochastic analysis) (60H25) Generation, random and stochastic difference and differential equations (37H10) Random linear operators (47B80) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorial dynamics (types of periodic orbits) (37E15) Random nonlinear operators (47H40)

Related Items (8)

A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle ⋮ On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory ⋮ Coexistence of Random Subharmonic Solutions of Random Impulsive Differential Equations and Inclusions on a Circle ⋮ Sharkovsky-Type Theorems on S1 Applicable to Differential Equations ⋮ 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 ⋮ Application of the randomized Sharkovsky-type theorems to random impulsive differential equations and inclusions ⋮ On the notion of random chaos

Cites Work

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