Scaling properties of a scattering system with an incomplete horseshoe

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Published under licence by IOP Publishing Ltd
, , Citation B Ruckerl and C Jung 1994 J. Phys. A: Math. Gen. 27 55 DOI 10.1088/0305-4470/27/1/005

0305-4470/27/1/55

Abstract

We investigate a parameter-dependent map describing a chaotic scattering system. In parameter ranges leading to an incomplete horseshoe we construct an approximate symbolic dynamics which describes quite well the hyperbolic component of the invariant set. Its grammatical rules are correlated with the convergence properties of the thermodynamical formalism for the measures characterizing the invariant set.

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10.1088/0305-4470/27/1/005