在连续的时间系统中不存在Shilnikov型混沌 |
| |
引用本文: | Z·艾哈得基,J·C·斯普饶特,吴承平. 在连续的时间系统中不存在Shilnikov型混沌[J]. 应用数学和力学, 2012, 33(3): 353-356 |
| |
作者姓名: | Z·艾哈得基 J·C·斯普饶特 吴承平 |
| |
作者单位: | 1. 特贝萨大学数学系,特贝萨12002,阿尔及利亚 2. 威斯康星大学物理系,麦迪逊WI 53706,美国 |
| |
摘 要: | 在n维的、时间连续的光滑系统中,得到了不存在同宿轨道和异宿轨道的条件.基于此结论并用一个基本实例,推断出如下结论:在多项式常微分方程系统中,有着以不存在同宿轨道和异宿轨道为特征的第4类混沌.
|
关 键 词: | 同宿混沌 异宿混沌 Shilnikov混沌的不存在性 |
On the Non-Existence of Shilnikov Chaos in Continuous-Time Systems |
| |
Affiliation: | Zeraoulia Elhadj1,J.C.Sprott2 (1.Department of Mathematics,University of Tebessa,12002,Algeria; 2.Department of Physics,University of Wisconsin,Madison,WI 53706,USA) |
| |
Abstract: | A non-existence condition for homoclinic and heteroclinic orbits in n-dimensional,continuous-time,smooth systems was obtained.Based on this result,and using an elementary example,it was conjectured that there was a fourth kind of chaos in polynomial ODE systems characterized by the non-existence of homoclinic and heteroclinic orbits. |
| |
Keywords: | homoclinic chaos heteroclinic chaos non-existence of Shilnikov chaos |
本文献已被 CNKI 万方数据 等数据库收录! |
|