Attractors and chain recurrence in generalized semigroup
Dynamical Systems
2019-10-02 v1
Abstract
In \cite {kl1}, we extended various notions of recurrence for the generalized semigroup analogous to their counterpart in the classical theory of dynamics. In this paper, we shall address the alternative definition of chain recurrent set in terms of attractors, given by Hurley in \cite {mh} following Conley\rq{}s characterization in \cite {conley}. We shall also discuss the notion of topological transitivity and chain transitivity in this general setting.
Cite
@article{arxiv.1910.00426,
title = {Attractors and chain recurrence in generalized semigroup},
author = {Kushal Lalwani},
journal= {arXiv preprint arXiv:1910.00426},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1906.01588