On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the number of limit cycles for the quadratic polynomial differential systems x ˙ = - y + x 2 , y ˙ = x + x y having an isochronous center with continuous and discontinuous cubic polynomial perturbations.
Using the averaging theory of first order, we obtain that 3 limit cycles bifurcate from the periodic orbits of the isochronous center with continuous perturbations and at least 7 limit cycles bifurcate from the periodic orbits of the isochronous center with discontinuous perturbations.
Moreover, this work shows that the discontinuous systems have at least 4 more limit cycles surrounding the origin than the continuous ones.
American Psychological Association (APA)
Jiang, Ziguo. 2016. On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103468
Modern Language Association (MLA)
Jiang, Ziguo. On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1103468
American Medical Association (AMA)
Jiang, Ziguo. On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103468
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103468