We discuss the characterization of chaotic behaviors in random maps both in terms of the Lyapunov exponent and of the spectral properties of the Perron-Frobenius operator. In particular, we study a logistic map where the control parameter is extracted at random at each time step by considering finite-dimensional approximation of the Perron-Frobenius operator.
Characterization of chaos in random maps / Loreto, Vittorio; G., Paladin; M., Pasquini; Vulpiani, Angelo. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 232:1-2(1996), pp. 189-200. [10.1016/0378-4371(96)00087-8]
Characterization of chaos in random maps
LORETO, Vittorio;VULPIANI, Angelo
1996
Abstract
We discuss the characterization of chaotic behaviors in random maps both in terms of the Lyapunov exponent and of the spectral properties of the Perron-Frobenius operator. In particular, we study a logistic map where the control parameter is extracted at random at each time step by considering finite-dimensional approximation of the Perron-Frobenius operator.File allegati a questo prodotto
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