MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE

MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE

The global behavior of a dynamical system can be described by its Morse decompositions or its attractor and repeller configurations. There is a close relation between these two approaches and also with (maximal) chain recurrent sets that describe the system behavior on finest Morse sets. These sets...

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Autores principales: AYALA,JOSE, CORBIN,PATRICK, MC CONVILLE,KELLY, COLONIUS,FRITZ, KLIEMANN,WOLFGANG, PETERS,JUSTIN
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2006
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100006
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spelling oai:scielo:S0716-091720060001000062006-06-07MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCEAYALA,JOSECORBIN,PATRICKMC CONVILLE,KELLYCOLONIUS,FRITZKLIEMANN,WOLFGANGPETERS,JUSTINThe global behavior of a dynamical system can be described by its Morse decompositions or its attractor and repeller configurations. There is a close relation between these two approaches and also with (maximal) chain recurrent sets that describe the system behavior on finest Morse sets. These sets depend upper semicontinuously on parameters. The connection with ergodic theory is provided through the construction of invariant measures based on chainsinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.1 20062006-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100006en10.4067/S0716-09172006000100006
institution Scielo Chile
collection Scielo Chile
language English
description The global behavior of a dynamical system can be described by its Morse decompositions or its attractor and repeller configurations. There is a close relation between these two approaches and also with (maximal) chain recurrent sets that describe the system behavior on finest Morse sets. These sets depend upper semicontinuously on parameters. The connection with ergodic theory is provided through the construction of invariant measures based on chains
author AYALA,JOSE
CORBIN,PATRICK
MC CONVILLE,KELLY
COLONIUS,FRITZ
KLIEMANN,WOLFGANG
PETERS,JUSTIN
spellingShingle AYALA,JOSE
CORBIN,PATRICK
MC CONVILLE,KELLY
COLONIUS,FRITZ
KLIEMANN,WOLFGANG
PETERS,JUSTIN
MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE
author_facet AYALA,JOSE
CORBIN,PATRICK
MC CONVILLE,KELLY
COLONIUS,FRITZ
KLIEMANN,WOLFGANG
PETERS,JUSTIN
author_sort AYALA,JOSE
title MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE
title_short MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE
title_full MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE
title_fullStr MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE
title_full_unstemmed MORSE DECOMPOSITION, ATTRACTORS AND CHAIN RECURRENCE
title_sort morse decomposition, attractors and chain recurrence
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2006
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000100006
work_keys_str_mv AT ayalajose morsedecompositionattractorsandchainrecurrence
AT corbinpatrick morsedecompositionattractorsandchainrecurrence
AT mcconvillekelly morsedecompositionattractorsandchainrecurrence
AT coloniusfritz morsedecompositionattractorsandchainrecurrence
AT kliemannwolfgang morsedecompositionattractorsandchainrecurrence
AT petersjustin morsedecompositionattractorsandchainrecurrence
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