Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-22
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
This paper deals with the problems of integrability and linearizable conditions at degenerate singular point in a class of quasianalytic septic polynomial differential system.
We solve the problems by an indirect method, that is, we transform the quasianalytic system into an analytic system firstly, and the degenerate singular point into an elementary singular point.
Then we calculate the singular values at the origin of the analytic system by the known classical methods.
We obtain the center conditions and isochronous center conditions.
Accordingly, integrability and pseudolinearizable conditions at degenerate singular point in the quasianalytic system are obtained.
Especially, when λ=1, the system has been studied in Wu and Zhang (2010).
American Psychological Association (APA)
Li, Feng& Wu, Yusen. 2012. Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-497733
Modern Language Association (MLA)
Li, Feng& Wu, Yusen. Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System. Abstract and Applied Analysis No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-497733
American Medical Association (AMA)
Li, Feng& Wu, Yusen. Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-497733
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497733