Iteration of the coupled map lattice construction
Identifieur interne : 000716 ( Main/Exploration ); précédent : 000715; suivant : 000717Iteration of the coupled map lattice construction
Auteurs : A. Jakobsen [Norvège] ; O. Knill [États-Unis]Source :
- Physics Letters A [ 0375-9601 ] ; 1995.
Abstract
We define a class F of topological dynamical systems, which are left invariant by coupled map lattice constructions. This class F has the property that if the coupling of the systems is sufficiently weak and (M, f) contains a hyperbolic set, then the new system φ(M, f) obtained by the coupled map lattice construction has a hyperbolic set too. The coupled map pattice construction, map φ, can be iterated and leads to dynamical systems (Mn, fn) with a hierarchical diffusion structure. We obtain examples where shifts are embedded in all scales of the limiting system (M∞, f∞) ∈ F.
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DOI: 10.1016/0375-9601(95)00573-L
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