摘要
Lorenz系统和Chua系统的奇异性质已有广泛的研究.本文将Lorenz系统和Chua系统看作快慢型自治系统,从几何奇异摄动的角度,讨论两系统的慢流形,对其轨线的奇异性作初步定性分析,并与有关文献的结果进行了比较.
The singular attributes of Lorenz system and Chua system have been well known. In this paper we consider the two systems as slow_fast autonomous dynamical systems to obtain the analytic equations of the slow manifold from the geometric singular perturbation point of view. This method allows us to give a geometric characterization of the attractor and a global qualitative description of its dynamics. Finally, a brief comparison between our results and relative articls' is presented.
出处
《四川师范学院学报（自然科学版）》
2003年第3期338-342,共5页
Journal of Sichuan Teachers College(Natural Science)
