On almost automorphic dynamics in symbolic lattices

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Arno Berger - , Vienna University of Technology (Author)
  • Stefan Siegmund - , University of Minnesota System (Author)
  • Yingfei Yi - , Georgia Institute of Technology (Author)

Abstract

We study the existence, structure and topological entropy of almost automorphic arrays in symbolic lattice dynamical systems. In particular, we show that almost automorphic arrays with arbitrarily large entropy are typical in symbolic lattice dynamical systems. Applications to pattern formation and spatial chaos in infinite-dimensional lattice systems are considered and the construction of chaotic almost automorphic signals is discussed.

Details

Original languageEnglish
Pages (from-to)677-696
Number of pages20
JournalErgodic Theory and Dynamical Systems
Volume24
Issue number3
Publication statusPublished - Jun 2004
Peer-reviewedYes
Externally publishedYes

External IDs

ORCID /0000-0003-0967-6747/work/149795408

Keywords

ASJC Scopus subject areas