Morse decomposition, attractors and chain recurrence

• Ayala-Hoffmann, José ^[1] ; Corbin, Patrick ^[2] ; McConville, Kelly ^[3] ; Colonius, Fritz ^[4] ; Kliemann, Wolfgang ^[1] ; Peters, Justin R. ^[1]
  1. [1] Iowa State University

     Iowa State University

     Township of Franklin, Estados Unidos

     
  2. [2] Tulane University

     Tulane University

     City of New Orleans, Estados Unidos

     
  3. [3] St. Olaf College

     St. Olaf College

     City of Northfield, Estados Unidos

     
  4. [4] University of Augsburg

     University of Augsburg

     Kreisfreie Stadt Augsburg, Alemania

     

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 1, 2006, págs. 79-109
• Idioma: inglés
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• Resumen

  • 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.