Quasiregularity and rigorous diffusion of strong Hamiltonian chaos.
نویسندگان
چکیده
Exact results are derived concerning quasiregularity and diffusion of strong chaos on resonances of the sawtooth map. A chaotic ensemble of well-defined quasiregularity type (the sequence of resonances visited) is generally a fractal set whose main characteristics, the topological entropy and the Hausdorff dimension, are calculated exactly, under some conditions, using a symbolic dynamics. The effect of quasiregularity on chaotic diffusion is characterized by an infinity of diffusion coefficients, each associated with a fractal ensemble trapped in a periodic set of resonances. In some cases, these coefficients are calculated exactly and it is shown that rigorous diffusion takes place on the resonances.
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 74 5 Pt 2 شماره
صفحات -
تاریخ انتشار 2006