Attractors for dynamical systems in topological spaces

Pages: 585 - 597, Volume 8, Issue 3, July 2002

doi:10.3934/dcds.2002.8.585       Abstract        Full Text (167.2K)       Related Articles

Alfredo Marzocchi - Dipartimento di Matematica, Università di Brescia, Via Valotti, 9 - I-25133 Brescia, Italy (email)
Sara Zandonella Necca - Dipartimento di Matematica, Università di Brescia, Via Valotti, 9 - I-25133 Brescia, Italy (email)

Abstract: In this paper we study the long time behaviour of dynamical systems acting in topological spaces. We give suitable definitions of attractivity and prove some properties of limit sets, as well as theorems on existence of attractors in the class of regular spaces.

Keywords:  Semigroups, attractors, topological spaces.
Mathematics Subject Classification:  37C70, 35B41, 34D45.

Received: March 2001;      Revised: November 2001;      Published: April 2002.