Application of Power Geometry and Normal Form Methods to the Study of Nonlinear ODEs
1 Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory 1 (2), Moscow, 119991, Russian Federation
2 Peoples’s Friendship University of Russia (RUDN University), Miklukho-Maklaya street 6, Moscow, 117198, Russian Federation
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Published online: 14 February 2018
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary differential equations which reduce such systems to a non-degenerative form. Example of creating exact first integrals of motion of some planar degenerate system in a closed form is given.
© The Authors, published by EDP Sciences, 2018
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