Characterization of chaos in random maps
V. Loreto, G. Paladin, M. Pasquini, A. Vulpiani
Abstract
We discuss the characterization of chaotic behaviours 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
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