Characterization of chaos in random maps

Details Characterization of chaos in random maps Characterization of chaos in random maps

1995-12-12

arxiv.org/abs/chao-dyn/9512004v1

Nonlinear Sciences

Chaotic Dynamics

Plane TeX file, 15 pages, and 5 figures available under request to Loreto@roma1.infn.it

Scientific paper

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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