On existence and structure of semiattractors for dynamical systems represented by cocycles

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Guzik, Grzegorz¹ 

[1] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

关键词: Cocycle;    Semiattractor;    Weak contractivity;    Iterated function system;    Topological limit;    Fibers of semiattractor;   

DOI  :  10.1016/j.jmaa.2019.03.014

来源: Elsevier

【 摘 要 】

We present a new sufficient condition for existence of semiattractors for set valued semiflows of state multifunctions associated with general cocycle mappings. We assume that a given cocycle has at least one weakly pullback contracting fiber. In particular, one can apply the result to iterated function systems having no contracting mappings. We also introduce and analyze a fiber structure of semiattractors. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free