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	Local first integrals of differential systems and diffeomorphisms
	Li, WG ; Llibre, J ; Zhang, X
	2003
关键词	differential system diffeomorphism local first integral normal form LOTKA-VOLTERRA INTEGRABILITY
英文摘要	In this paper using theory of linear operators and normal forms we generalize a result of Poincare [11] about the non-existence of local first integrals for systems of differential equations in a neighbourhood of a singular point. As an application of the generalized result, and under more weak conditions we obtain a result of Furta [8] about local first integrals of semi-quasi-homogeneous systems. Moreover, for diffeomorphisms and periodic differential systems we give definitions of their first integrals, and generalize the previous results about systems of differential equations to diffeomorphisms in a neighbourhood of a fixed point and to periodic differential systems in a neighbourhood of a constant solution.; Mathematics, Applied; SCI(E); 20; ARTICLE; 2; 235-255; 54
语种	英语
出处	SCI
出版者	zeitschrift fur angewandte mathematik und physik
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158022]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, WG,Llibre, J,Zhang, X. Local first integrals of differential systems and diffeomorphisms. 2003-01-01.

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