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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