Flux-minimizing curves for reversible area-preserving maps

DOI10.1016/0167-2789(92)90015-FzbMath0771.58010MaRDI QIDQ1199311

James D. Meiss, Robert L. Dewar

Publication date: 16 January 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

variational principleminimizationinvariant circlestwist mapsquadratic flux

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Ergodic theory (37A99)

Related Items (4)

Rational quadratic-flux minimizing circles for area-preserving twist maps ⋮ Action-gradient-minimizing pseudo-orbits and almost-invariant tori ⋮ A new method to compute periodic orbits in general symplectic maps ⋮ Stellarator symmetry

Cites Work

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• Transport in Hamiltonian systems
• Optimal oscillation-center transformations
• Long-term bounds on nonlinear Hamiltonian motion
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• Computation of magnetic coordinates and action-angle variables
• Elimination of stochasticity in stellarators
• Variational approach to the integrals of motion for symplectic maps
• Optimized Fourier representations for three-dimensional magnetic surfaces
• Ponderomotive effects in collisionless plasma: A Lie transform approach
• A variational principle for invariant tori of fixed frequency
• Renormalized Lie perturbation theory

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