Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems

Autor: Vasisht, Radhika, Das, Ruchi
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, the interrelations of some dynamical properties of the non-autonomous dynamical system (X, f1;infinity) and its induced non-autonomous dynamical system (K(X), f1;infinity) are studied, where K(X) is the hyperspace of all non-empty compact subsets of X, endowed with Vietoris topology. Various stronger forms of sensitivity and transitivity are considered. Some examples of non-autonomous systems are provided to support the results. A relation between shadowing property of the non- autonomous system (X, f1;infinity) and its induced system (K(X), f1;infinity) is studied.
Databáze: arXiv