Non-existence of Shilnikov chaos in continuous-time systems |
| |
| Authors: | Z Elhadj J C Sprott |
| |
| Institution: | ELHADJ 1,J.C.SPROTT 2(1.Department of Mathematics,University of T’ebessa,T’ebessa 12002,Algeria;2.Department of Physics,University of Wisconsin-Madison,WI 53706,USA) |
| |
| Abstract: | In this paper, a non-existence condition for homoclinic and heteroclinic orbits in n-dimensional, continuous-time, and smooth systems is obtained. Based on this result and an elementary example, it can be conjectured
that there is a fourth kind of chaos in polynomial ordinary differential equation (ODE) systems characterized by the nonexistence
of homoclinic and heteroclinic orbits. |
| |
| Keywords: | homoclinic chaos heteroclinic chaos non-existence of Shilnikov chaos |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
|
