Poincaré's méthode nouvelle by skew composition

DOI10.1023/A:1008343529347zbMath0958.70015OpenAlexW1622082387MaRDI QIDQ1976138

Etienne Deprit, André Deprit

Publication date: 1 April 2001

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008343529347

zbMATH Keywords

perturbation theorysmall parametergenerating functionpower seriesHamiltonian dynamicsimplicit equationssymbolic algebraLagrange's formulaconservative HamiltoniansPoincaré méthode nouvelleskew compositionskew inversion

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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