Flux, resonances and the devil's staircase for the sawtooth map

被引:18
作者
Chen, Q. [1 ]
Meiss, J. D. [1 ]
机构
[1] Univ Texas Austin, Inst Fus Studies, Austin, TX 78712 USA
关键词
D O I
10.1088/0951-7715/2/2/009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The sawtooth mapping is a family of uniformly hyperbolic, piecewise linear, area-preserving mops on the cylinder. We construct the resonances, canton and turnstiles of this family and derive exact formulae for the resonance areas and the escaping fluxes. The resonances are shown to fill the full measure of phase space. These results are extended to piecewise linear, continuous mapping for parameters which have no invariant ton. Resonance area and fluxes are of prime interest for an understanding of the deterministic transport which occurs in the stochastic regime.
引用
收藏
页码:347 / 356
页数:10
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