Attractors and chain recurrence in generalized semigroup

30 Sep 2019  ·  Lalwani Kushal ·

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. read more

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Dynamical Systems