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ON SOME GEOMETRIC METHODS IN DIFFERENTIAL EQUATIONS
Author(s) : Alexander D. Bruno
Pages : [37] - [47]
Received : August 30, 2016
Pages : [37] - [47]
Received : August 30, 2016
Abstract
We give a survey of geometric methods used in papers and books by V. I. Arnold and V. V. Kozlov. They are methods of different normal forms, of different polyhedra, of small denominators and of asymptotic expansions.
Keywords
geometric method, normal form, asymptotic expansion, Painlevé equation, Hamiltonian system.