Branching Solutinos and Lie Series

Details Branching Solutinos and Lie Series Branching Solutinos and Lie Series

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..517v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 4, p. 517-536

Astronomy and Astrophysics

Astronomy

2

Branching Solutions, Newton Diagram, Puiseux Expansions, Lie Series

Scientific paper

Branching solutions of algebraic equations are treated using Lie series.
A new method is proposed to derive Puiseux expansions. Newton's diagram
is considered in the context of Lie series. An application of finding
equilibrium points of a Hamiltonian system near resonances is also
demonstrated.

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