Published April 1988
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Exact area devil's staircase for the sawtooth map
Description
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
Availability note (English)
Available from NTIS, PC A03/MF A01; 1 as DE88007927.
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Additional details
Publishing Information
- Imprint Pagination
- 18 p.
- Report number
- DOE/ET/53088--317
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 19089992
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
- Descriptors DEI
- ORBITS; PHASE SPACE; TOPOLOGICAL MAPPING; TRANSPORT THEORY
- Descriptors DEC
- MATHEMATICAL SPACE; SPACE; TRANSFORMATIONS
Optional Information
- Notes
- Portions of this document are illegible in microfiche products.
- Secondary number(s)
- IFSR--317.