Calculation of Normal Forms of the Euler–Poisson Equations

Авторы: Bruno Alexander D., Edneral Victor F.
Сборник: Computer Algebra in Scientific Computing – 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings
Серия: Lecture Notes in Computer Science
Том: 7442
Год издания: 2012
Место издания: Springer Berlin Heidelberg
Первая страница: 60
Последняя страница: 71
DOI: 10.1007/978-3-642-32973-9_6
Аннотация: In the paper [1], the special case of the Euler–Poisson equations describing movements of a heavy rigid body with a fixed point is considered. Among stationary points of the system, two of one-parameter families were chosen. These families correspond to the resonance of eigenvalues (0, 0, λ, − λ, 2λ, − 2λ) of the matrix of the linear part of the system, also in [1] it was conjectured the absence of the additional first integral (with respect to well-known 3 integrals (2)) near these families, except of classical cases of global integrability. In this paper, the supposition is proved by calculations of coefficients of the normal form.
Добавил в систему: Еднерал Виктор Федорович

	ИСТИНА	Войти в систему Регистрация
	ИПМех РАН
	Главная Поиск Статистика О проекте Помощь

ИСТИНА