Spectrum of the Frobenius–Perron operator for systems with stochastic perturbation
نویسندگان
چکیده
We investigate dynamical systems with stochastic perturbation and study to what extend analytical properties of the noise present influence the spectrum of the associated Frobenius–Perron operator. We suggest to distinguish a “physical” part of the spectrum of the deterministic system, as this robust with respect to the perturbation. For exemplary system studied such eigenvalues of the FP-operator are located outside the essential spectrum and have direct physical meaning: they determine the rate of the exponential decay of correlations in the system. 2001 Elsevier Science B.V. All rights reserved. PACS: 02.50.Ey; 05.10.-a; 05.40.Ca; 05.45.-a
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