Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map

Details Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map

2001-04-08

arxiv.org/abs/nlin/0104021v1

Nonlinear Sciences

Chaotic Dynamics

4 pages,4 figures

Scientific paper

10.1103/PhysRevE.63.057201

We analyse 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 R. Artuso. Exact expressions for diffusion coefficient are obtained giving previously obtained results as special cases. Fluctuation spectrum relating to probability density function is obtained in a parametric form. We also give limiting forms of the above quantities. Dependence of diffusion coefficient and probability density function on the shape of the map is examined.

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