Exact area devil's staircase for the sawtooth map
Technical Report
·
OSTI ID:5223820
The sawtooth mapping is a family of uniformly hyperbolic, piecewise linear, area-preserving maps on the cylinder. We construct the resonances, cantori, and turnstiles of this family and derive exact formulas for the resonance areas and the escaping fluxes. These are of prime interst for an understanding of the deterministic transport which occurs the stochastic regime. The resonances are shown to fill the full measure of phase space. 9 refs., 4 figs.
- Research Organization:
- Texas Univ., Austin (USA). Inst. for Fusion Studies
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 5223820
- Report Number(s):
- DOE/ET/53088-317; IFSR-317; ON: DE88007927
- Country of Publication:
- United States
- Language:
- English
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