Title:
On Almost Automorphic Dynamics in Symbolic Lattices
On Almost Automorphic Dynamics in Symbolic Lattices
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Author(s)
Berger, Arno
Siegmund, Stefan
Yi, Yingfei
Siegmund, Stefan
Yi, Yingfei
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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.
Sponsor
The first author was supported by a Max Kade Postdoctoral Fellowship (at Georgia Tech). The second author was partially supported by DFG grant Si 801 and CDSNS, Georgia Tech. The third author was partially supported by NSF Grant DMS-0204119.
Date Issued
2002
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Text
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Pre-print