کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1901195 1045625 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A method for obtaining first integrals and integrating factors of autonomous systems and application to Euler-Poisson equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
A method for obtaining first integrals and integrating factors of autonomous systems and application to Euler-Poisson equations
چکیده انگلیسی

A method for obtaining first integrals and integrating factors of n-th order autonomous systems is proposed. The search for first integrals and integrating factors can be reduced to the search for a class of invariant manifolds of the systems. Finally, the proposed method is applied to Euler-Poisson equations (gyroscope system), and the fourth first integral of the system in general Kovalevskaya case can be obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 58, Issue 1, August 2006, Pages 41-50