Branching solutions and Lie series |
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| Authors: | F Váradi |
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| Institution: | (1) Department of Atmospheric Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, 90024 Los Angeles, CA, USA |
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| Abstract: | 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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| Keywords: | Branching solutions Newton diagram Puiseux expansions Lie series |
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