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

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	585-597
Number of pages	13
Journal	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.
Volume	8
DOIs	https://doi.org/10.3934/dcds.2002.8.585
Publication status	Published - 2002

Keywords

Attractors
Semigroups
Topological spaces

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10.3934/dcds.2002.8.585

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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",

author = "Alfredo Marzocchi and Necca, {Sara Zandonella}",

year = "2002",

doi = "10.3934/dcds.2002.8.585",

language = "English",

volume = "8",

pages = "585--597",

journal = "DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.",

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AU - Marzocchi, Alfredo

AU - Necca, Sara Zandonella

PY - 2002

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AB - 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.

KW - Attractors

KW - Semigroups

KW - Topological spaces

KW - Attractors

KW - Semigroups

KW - Topological spaces

UR - http://hdl.handle.net/10807/268517

U2 - 10.3934/dcds.2002.8.585

DO - 10.3934/dcds.2002.8.585

M3 - Article

SN - 1531-3492

VL - 8

SP - 585

EP - 597

JO - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.

JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.

ER -

Attractors for dynamical systems in topological spaces

Abstract

Keywords

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