https://doi.org/10.1051/epjconf/201817301004
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
* e-mail: edneral_vf@rudn.university
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
