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On Study of Degenerate Systemстатья
- Авторы: Alexander Bruno, Victor Edneral
- Сборник: Computer Algebra Systems in Teaching and Research
- Том: 6
- Год издания: 2017
- Первая страница: 5
- Последняя страница: 15
- Аннотация: We study a local integrability of a plane autonomous polynomial system of ODEs depending on five parameters with a deeply degenerate singular point at the origin. The approach is based on using Power Geometry Method and the computation of normal forms. We search for the sets of necessary conditions on parameters of the system under which the system is locally integrable near each stationary point. We found six such two-parameter sets in the full five-parameter co-space. We restrict ourselves only two-parameter sets. We found the exact expressions for the six corresponding first analytic integrals of motion.
- Добавил в систему: Еднерал Виктор Федорович