On New Integrals of the Algaba-Gamero-Garcia System

Авторы: Bruno A.D., Edneral V.F., Romanovski V.G.
Сборник: Computer Algebra in Scientific Computing. 19th International Workshop, CASC 2017. Beijing, China, September 18-22, 2017. Proceedings
Серия: Lecture Notes in Computer Science
Том: 10490
Год издания: 2017
Место издания: Springer International Publishing AG 2017 Gewerbestrasse 11, 6330 Cham, Switzerland
Первая страница: 40
Последняя страница: 50
DOI: 10.1007/978-3-319-66320-3_4
Аннотация: We study local integrability of a plane autonomous polynomial system of ODEs depending on five parameters with a degenerate singular point at the origin. The approach is based on making use of the Power Geometry Method and the computation of normal forms. We look for the complete set of necessary conditions on parameters of the system under which the system is locally integrable near the degenerate stationary point. Early we found that the sets of parameters satisfying these conditions consist of four two-parameter subsets in the full five-parameter co-space. Now we consider the special subcase of the case $b^2 = 2/3$ and separate subsubcases when additional first integrals can exist. Here we found two such integrals.
Добавил в систему: Еднерал Виктор Федорович

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