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On the Algorithm for Constructing Periodic Solutions of A System of Ordinary Differential Equations not Reduced to The Characteristic form of Liapounov's Systemстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Автор: Shirmin G.I.
- Журнал: Celestial mechanics
- Том: 10
- Номер: 2
- Год издания: 1974
- Первая страница: 151
- Последняя страница: 164
- DOI: 10.1007/BF01227615
- Аннотация: As is known the famous Liapounov algorithm (Moiseev, 1969) has been elaborated by its ereator (Liapounov, 1950) for systems of ordinary differential equations of special form which is known as the ‘characteristic’ (Duboshin, 1952, 1964) or ‘canonical’ (Moiseev, 1969) form of Liapounov's system. This algorithm allows the construction of periodic solutions of such systems in the form of infinite series in powers of some arbitrary constant. In the present paper Duboshin's paraphrase (Duboshin, 1952, 1964) of Liapounov's algorithm in reference to systems of differential equations in normal form is discussed, inaccuracies contained therein are noted, and the procedure for calculation of coefficients of the series expansion of the solution period in powers of an arbitrary constant is more precisely defined.
- Добавил в систему: Ширмин Геннадий Иванович