Renormalized Lie perturbation theory

DOI10.1063/1.525324zbMath0507.70021OpenAlexW2054334503MaRDI QIDQ4745328

E. Rosengaus, Robert L. Dewar

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1203369/

zbMATH Keywords

invariant curvesaction-angle variablesconjugacy problemtwist mapmeasure preserving mapsKAM-curves and surfacesperturbation technique of renormalized Lie-type

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Hamilton-Jacobi equations in mechanics (70H20) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (3)

Optimal oscillation-center transformations ⋮ Rational quadratic-flux minimizing circles for area-preserving twist maps ⋮ Flux-minimizing curves for reversible area-preserving maps

Cites Work

• Ponderomotive effects in collisionless plasma: A Lie transform approach
• Exact oscillation-centre transformations
• A variational principle for invariant tori of fixed frequency
• Small denominators. I. Mappings of the circumference onto itself

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