Проневич Андрей Францевич

    Andrei Pranevich
    Беларусь, Гродно, ул. Ожешко 22
    pranevich@grsu.by
    Гродненский государственный университет имени Янки Купалы

    Публикации:

    Проневич А. Ф.
    On Poisson’s Theorem of Building First Integrals for Ordinary Differential Systems
    2019, vol. 15, no. 1, с.  87-96
    Подробнее
    We consider Hamiltonian systems with $n$ degrees of freedom. Among the general methods
    of integration of Hamiltonian systems, the Poisson method is of particular importance. It
    allows one to find the additional (third) first integral of the Hamiltonian system by two known
    first integrals of the Hamiltonian system. In this paper, the Poisson method of building first
    integrals of Hamiltonian systems by integral manifolds and partial integrals is developed. Also,
    the generalization of the Poisson method for general ordinary differential systems is obtained.
    Ключевые слова: Hamiltonian system, Poisson’s theorem, first integral, integral manifold, partial integral, Poisson bracket
    Цитирование: Проневич А. Ф.,  On Poisson’s Theorem of Building First Integrals for Ordinary Differential Systems, Нелинейная динамика, 2019, Vol. 15, no. 1, с.  87-96
    DOI:10.20537/nd190109

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