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.
Marzocchi, A., Necca, S. Z., Attractors for dynamical systems in topological spaces, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.>>, 2000; 8 (111): 585-597. [doi:10.3934/dcds.2002.8.585] [https://hdl.handle.net/10807/268517]
Attractors for dynamical systems in topological spaces
Marzocchi, AlfredoPrimo
;
2002
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.
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