Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-11
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A class of polynomial differential systems with high-order nilpotent critical points are investigated in this paper.
Those systems could be changed into systems with an element critical point.
The center conditions and bifurcation of limit cycles could be obtained by classical methods.
Finally, an example was given; with the help of computer algebra system MATHEMATICA, the first 5 Lyapunov constants are deduced.
As a result, sufficient and necessary conditions in order to have a center are obtained.
The fact that there exist 5 small amplitude limit cycles created from the high-order nilpotent critical point is also proved.
American Psychological Association (APA)
Li, Feng& Qiu, Jianlong. 2013. Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-504147
Modern Language Association (MLA)
Li, Feng& Qiu, Jianlong. Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-504147
American Medical Association (AMA)
Li, Feng& Qiu, Jianlong. Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-504147
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504147