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Spectral decomposition of the tent maps and the isomorphism of dynamical systems

par Antoniou, Ioannis ;Bi, Qiao
Référence Physics letters. A, 215, 5-6, page (280-290)
Publication Publié, 1996-06

Article révisé par les pairs

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Résumé :

We construct a generalized spectral decomposition of the family of tent maps. Comparison with the Renyi maps shows that isomorphic systems may have different rates of approach to equilibrium. We propose therefore a natural isomorphism of dynamical systems on the basis of the identity of spectra in rigged Hilbert space.