Group theoretical perturbative treatment of nonlinear Hamiltonians on the dual of a Lie algebra

DOI10.1016/S0034-4877(99)80014-7zbMath0957.37058OpenAlexW1998090514WikidataQ115339881 ScholiaQ115339881MaRDI QIDQ1305689

V. Pereyra

Publication date: 22 September 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80014-7

zbMATH Keywords

Weyl groupperturbation methodLie algebranonlinear Hamiltonians

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Applications of Lie algebras and superalgebras to integrable systems (17B80) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Geometric optics (78A05)

Related Items (1)

Lie–Hamilton systems on curved spaces: a geometrical approach

Cites Work

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• Quantification géométrique.
• Computation of nonlinear behavior of Hamiltonian systems using Lie algebraic methods
• On the exponential solution of differential equations for a linear operator

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