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Branching solutions and Lie series

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Publication:1311443
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DOI10.1007/BF00691936zbMath0784.70003OpenAlexW1632769968MaRDI QIDQ1311443

F. Varadi

Publication date: 13 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf00691936


zbMATH Keywords

equilibrium pointsresonancesHamiltonian systemNewton's diagramPuiseux expansions


Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Nonlinear algebraic or transcendental equations (65H99)


Related Items (1)

Singularly weighted symplectic forms and applications to asteroid motion



Cites Work

  • Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
  • Regular and stochastic motion
  • Two-parameter Lie transforms
  • Note on Lagrange's inversion formula
  • Equivalence for lie transforms
  • Canonical transformations depending on a small parameter
  • On a perturbation theory using Lie transforms
  • Averaging methods in nonlinear dynamical systems
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