Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 106-119 |
| Journal / Publication | Journal of Mathematical Analysis and Applications |
| Volume | 315 |
| Issue number | 1 |
| Publication status | Published - 1 Mar 2006 |
Link(s)
Abstract
In this paper, the existence of heteroclinic orbits of Shil'nikov type in a three-dimensional quadratic autonomous system is proved. Four heteroclinic orbits and four critical points together constitute two cycles simultaneously. The dynamical behaviors of the system are also studied. © 2005 Elsevier Inc. All rights reserved.
Research Area(s)
- Behavior of trajectory, Heteroclinic orbit, Invariant set, Shil'nikov map
Citation Format(s)
Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system. / Zheng, Zuohuan; Chen, Guanrong.
In: Journal of Mathematical Analysis and Applications, Vol. 315, No. 1, 01.03.2006, p. 106-119.
In: Journal of Mathematical Analysis and Applications, Vol. 315, No. 1, 01.03.2006, p. 106-119.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
