On Almost Automorphic Dynamics in Symbolic Lattices

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/29477

Title: On Almost Automorphic Dynamics in Symbolic Lattices
Author: Berger, Arno ; Siegmund, Stefan ; Yi, Yingfei
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.
Description: 1991 Mathematics Subject Classification. Primary Primary 37B10, 37A35, 43A60; Secondary 37B20, 54H20.
Type: Pre-print
URI: http://hdl.handle.net/1853/29477
Date: 2002
Contributor: Georgia Institute of Technology. School of Mathematics
Georgia Institute of Technology. Southeast Applied Analysis Center
University of Minnesota. Institute for Mathematics and Its Applications
Relation: CDSNS2002-386
Publisher: Georgia Institute of Technology
Subject: Almost automorphic arrays
Chaotic signals
Lattice systems
Symbolic dynamics
Toeplitz arrays

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