English

Attractors and chain recurrence in noncompact space for semigroup of continuous maps

Dynamical Systems 2021-11-17 v1

Abstract

We shall address the alternative definition of chain recurrent set for the action of a semigroup of continuous self maps, given by M. Hurley \cite {mh} in noncompact space. Following this, we shall address the characterization of chain recurrence in terms of attractors given by C. Conley in \cite {conley}.

Keywords

Cite

@article{arxiv.2111.08252,
  title  = {Attractors and chain recurrence in noncompact space for semigroup of continuous maps},
  author = {Sanjay Kumar and Kushal Lalwani},
  journal= {arXiv preprint arXiv:2111.08252},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1910.00426