Ayuda
Ir al contenido

Dialnet


A Behavioral Characterization of Discrete Time Dynamical Systems over Directed Graphs

    1. [1] Bowdoin College

      Bowdoin College

      Town of Brunswick, Estados Unidos

    2. [2] Stanford University

      Stanford University

      Estados Unidos

    3. [3] Cornell University

      Cornell University

      City of Ithaca, Estados Unidos

    4. [4] University of Puerto Rico (USA)
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 13, Nº 1, 2014, págs. 161-180
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • Using a directed graph, a Markov chain can be treated as a dynamical system over a compact space of bi-infinite sequences, with a flow given by the left shift of a sequence. In this paper, we show that the Morse sets of the finest Morse decomposition on this space can be related to communicating classes of the directed graph by considering lifting the communicating classes to the shift space. Finally, we prove that the flow restricted to these Morse sets is chaotic.


Fundación Dialnet

Dialnet Plus

  • Más información sobre Dialnet Plus

Opciones de compartir

Opciones de entorno