paper

Attractors and chain recurrence in generalized semigroup

arXiv:1910.00426

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.

arXiv admin note: text overlap with arXiv:1906.01588

References in corpus (1)

Attractors and chain recurrence in generalized semigroup · wovepaper