Fourteen Limit Cycles in a Seven-Degree Nilpotent System
Joint Authors
Huang, Wentao
Chen, Ting
Gu, Tianlong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-13
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Center conditions and the bifurcation of limit cycles for a seven-degree polynomial differential system in which the origin is a nilpotent critical point are studied.
Using the computer algebra system Mathematica, the first 14 quasi-Lyapunov constants of the origin are obtained, and then the conditions for the origin to be a center and the 14th-order fine focus are derived, respectively.
Finally, we prove that the system has 14 limit cycles bifurcated from the origin under a small perturbation.
As far as we know, this is the first example of a seven-degree system with 14 limit cycles bifurcated from a nilpotent critical point.
American Psychological Association (APA)
Huang, Wentao& Chen, Ting& Gu, Tianlong. 2013. Fourteen Limit Cycles in a Seven-Degree Nilpotent System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-469037
Modern Language Association (MLA)
Huang, Wentao…[et al.]. Fourteen Limit Cycles in a Seven-Degree Nilpotent System. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-469037
American Medical Association (AMA)
Huang, Wentao& Chen, Ting& Gu, Tianlong. Fourteen Limit Cycles in a Seven-Degree Nilpotent System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-469037
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469037