| 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 |
| Files | Size | Format | View |
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| 2002-386.pdf | 215.2Kb |
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