The Return Map for a Planar Vector Field with Nilpotent Linear Part : A Direct and Explicit Derivation
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Using a direct approach the return map near a focus of a planar vector field with nilpotent linear part is found as a convergent power series which is a perturbation of the identity and whose terms can be calculated iteratively.
The first nontrivial coefficient is the value of an Abelian integral, and the following ones are explicitly given as iterated integrals.
American Psychological Association (APA)
Costin, Rodica D.. 2009. The Return Map for a Planar Vector Field with Nilpotent Linear Part : A Direct and Explicit Derivation. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-483287
Modern Language Association (MLA)
Costin, Rodica D.. The Return Map for a Planar Vector Field with Nilpotent Linear Part : A Direct and Explicit Derivation. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-483287
American Medical Association (AMA)
Costin, Rodica D.. The Return Map for a Planar Vector Field with Nilpotent Linear Part : A Direct and Explicit Derivation. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-483287
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483287