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On the number of limit cycles for a class of discontinuous quadratic differential systems.
- Source :
-
Journal of Mathematical Analysis & Applications . May2017, Vol. 449 Issue 1, p314-342. 29p. - Publication Year :
- 2017
-
Abstract
- The present paper is devoted to the study of the maximum number of limit cycles bifurcated from the periodic orbits of the quadratic isochronous center x ˙ = − y + 16 3 x 2 − 4 3 y 2 , y ˙ = x + 8 3 x y by the averaging method of first order, when it is perturbed inside a class of discontinuous quadratic polynomial differential systems. The Chebyshev criterion is used to show that this maximum number is 5 and can be realizable. In some sense, the result and that in paper [6] also answer the questions left in the paper [9] . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 449
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 120673106
- Full Text :
- https://doi.org/10.1016/j.jmaa.2016.11.033