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Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map | | S Rajagopalan
; M Sabir
; | | Date: |
30 Apr 2001 | | Journal: | Phys Rev E, 63 (5 Pt 2), 057201 | | Abstract: | We analyze the chaotic motion and its shape dependence in a piecewise linear map using Fujisaka’s characteristic function method. The map is a generalization of the one introduced by Artuso. Exact expressions for diffusion coefficients are obtained with previously obtained results used as special cases. A fluctuation spectrum relating to the probability density function is obtained in a parametric form. We also give limiting forms of the above quantities. The dependence of the diffusion coefficient and probability density function on the shape of the map is examined. | | Source: | PubMed, pmid11415049 | | Services: | Forum | Review | Favorites | |
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