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July  2002, 8(3): 585-597. doi: 10.3934/dcds.2002.8.585

Attractors for dynamical systems in topological spaces

Alfredo Marzocchi 1, and  Sara Zandonella Necca 1,

1. 

Dipartimento di Matematica, Università di Brescia, Via Valotti, 9 - I-25133 Brescia, Italy, Italy

Received  March 2001 Revised  November 2001 Published  April 2002

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, 34D4.
Citation: Alfredo Marzocchi, Sara Zandonella Necca. Attractors for dynamical systems in topological spaces. Discrete & Continuous Dynamical Systems, 2002, 8 (3) : 585-597. doi: 10.3934/dcds.2002.8.585
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