Randomization of Sharkovsky-type results on the circle-Reference-Cited by-同舟云学术

Randomization of Sharkovsky-type results on the circle

Published:2017-03-26 Issue:03 Volume:17 Page:1750017
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Andres Jan¹

Affiliation:

1. Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, 17. Listopadu 12, 771 46 Olomouc, Czech Republic

Abstract

Two deterministic Sharkovsky-type theorems on the circle due to L. Block [Proc. Amer. Math. Soc. 82 (1981) 481–486] and X. Zhao [Fixed Point Theory Appl., Article ID 194875 (2008)] are randomized. The randomization of Block’s theorem brings an additional information about the forcing alternatives. Some further possibilities of the randomized Zhao’s theorem are discussed for multivalued maps.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493717500174

Reference25 articles.

1. Combinatorial Dynamics and Entropy in Dimension One

2. Multiple Bounded Solutions of Differential Inclusions: The Nielsen Theory Approach

3. Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions

4. Full analogy of Sharkovsky's theorem for lower semicontinuous maps

5. Topological Fixed Point Principles for Boundary Value Problems

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Coexistence of Random Subharmonic Solutions of Random Impulsive Differential Equations and Inclusions on a Circle;International Journal of Bifurcation and Chaos;2020-08

2. Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori;Stochastics and Dynamics;2019-08-19

3. Sharp Block–Sharkovsky Type Theorem for Multivalued Maps on the Circle and Its Application to Differential Equations and Inclusions;International Journal of Bifurcation and Chaos;2019-08

4. A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle;International Journal of Bifurcation and Chaos;2018-10

5. Application of the Randomized Sharkovsky-Type Theorems to Random Impulsive Differential Equations and Inclusions;Journal of Dynamics and Differential Equations;2018-07-09