Area as a devil's staircase in twist maps
Technical Report
·
OSTI ID:6226902
In area-preserving maps, the area under an invariant set as a function of frequency is a devil's staircase. We show this staircase is the derivative of the average action of the invariant set with respect to frequency. This implies that resonances fill the phase space completely when there are no invariant curves.
- Research Organization:
- Texas Univ., Austin (USA). Inst. for Fusion Studies
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 6226902
- Report Number(s):
- DOE/ET/53088-281; IFSR-281; ON: DE87012663
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640100 -- Astrophysics & Cosmology
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700102 -- Fusion Energy-- Plasma Research-- Diagnostics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL MAPPING
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL SPACE
ORBITS
PHASE SPACE
RESONANCE
SPACE
TOPOLOGICAL MAPPING
TRAJECTORIES
TRANSFORMATIONS
TRANSPORT THEORY
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700102 -- Fusion Energy-- Plasma Research-- Diagnostics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL MAPPING
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL SPACE
ORBITS
PHASE SPACE
RESONANCE
SPACE
TOPOLOGICAL MAPPING
TRAJECTORIES
TRANSFORMATIONS
TRANSPORT THEORY