Attractors for dynamical systems in topological spaces

Alfredo Marzocchi; Sara Zandonella Necca

doi:10.3934/dcds.2002.8.585

Attractors for dynamical systems in topological spaces

Alfredo Marzocchi
, Sara Zandonella Necca

University of Brescia

Risultato della ricerca: Contributo in rivista › Articolo

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.

Lingua originale	Inglese
pagine (da-a)	585-597
Numero di pagine	13
Rivista	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.
Volume	8
DOI	https://doi.org/10.3934/dcds.2002.8.585
Stato di pubblicazione	Pubblicato - 2002

Keywords

Attractors
Semigroups
Topological spaces

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title = "Attractors for dynamical systems in topological spaces",

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 = "Attractors, Semigroups, Topological spaces, Attractors, Semigroups, Topological spaces",

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year = "2002",

doi = "10.3934/dcds.2002.8.585",

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KW - Attractors

KW - Semigroups

KW - Topological spaces

KW - Attractors

KW - Semigroups

KW - Topological spaces

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M3 - Article

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JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.

ER -

Attractors for dynamical systems in topological spaces

Abstract

Keywords

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