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Characterization of chaos in random maps

✍ Scribed by V. Loreto; G. Paladin; M. Pasquini; A. Vulpiani

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
493 KB
Volume
232
Category
Article
ISSN
0378-4371

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✦ Synopsis

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.

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## Abstract A new procedure for characterizing the solution of the eigenvalue problem in the presence of uncertainty is presented. The eigenvalues and eigenvectors are described through their projections on the polynomial chaos basis. An efficient method for estimating the coefficients with respect