Existence of Center for Planar Differential Systems with Impulsive Perturbations
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present a method that uses successor functions in ordinary differential systems to address the “center-focus” problem of a class of planar systems that have an impulsive perturbation.
By deriving solution formulae for impulsive systems, several interesting criteria for distinguishing between the center and the focus of linear and nonlinear planar systems with state-dependent impulsions are established.
The conditions describing the stability of the focus of the considered models are also given.
The computing methods presented here are more convenient for determining the center of impulsive systems than those in the literature.
Numerical examples are given to show the effectiveness of the theoretical results.
American Psychological Association (APA)
Xu, Dengguo. 2015. Existence of Center for Planar Differential Systems with Impulsive Perturbations. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1052980
Modern Language Association (MLA)
Xu, Dengguo. Existence of Center for Planar Differential Systems with Impulsive Perturbations. Advances in Mathematical Physics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1052980
American Medical Association (AMA)
Xu, Dengguo. Existence of Center for Planar Differential Systems with Impulsive Perturbations. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1052980
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052980