![](/images/graphics-bg.png)
Uniqueness of Limit Cycles for a Class of Cubic Systems with Two Invariant Straight Lines
Joint Authors
Zhan, Qingyi
Chen, Fengde
Xie, Xiangdong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-01
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A class of cubic systems with two invariant straight lines dx/dt=y(1-x2), dy/dt=-x+δy+nx2+mxy+ly2+bxy2.
is studied.
It is obtained that the focal quantities of O(0,0) are, W0=δ; if W0=0, then W1=m(n+l); if W0=W1=0, then W2=−nm(b+1); if W0=W1=W2=0, then O is a center, and it has been proved that the above mentioned cubic system has at most one limit cycle surrounding weak focal O(0,0).
This paper also aims to solve the remaining issues in the work of Zheng and Xie (2009).
American Psychological Association (APA)
Xie, Xiangdong& Chen, Fengde& Zhan, Qingyi. 2010. Uniqueness of Limit Cycles for a Class of Cubic Systems with Two Invariant Straight Lines. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-494659
Modern Language Association (MLA)
Xie, Xiangdong…[et al.]. Uniqueness of Limit Cycles for a Class of Cubic Systems with Two Invariant Straight Lines. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-494659
American Medical Association (AMA)
Xie, Xiangdong& Chen, Fengde& Zhan, Qingyi. Uniqueness of Limit Cycles for a Class of Cubic Systems with Two Invariant Straight Lines. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-494659
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494659