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Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle.
- Source :
-
Journal of Differential Equations . Mar2016, Vol. 260 Issue 5, p4473-4498. 26p. - Publication Year :
- 2016
-
Abstract
- Finding cyclicity of homoclinic or heteroclinic loops in quadratic systems is an open problem, which is related to the second part of Hilbert's 16th problem. This paper mainly considers the problem of limit cycle bifurcation for quadratic polynomial systems near a triangle. It is proved that the cyclicity of the triangle in quadratic systems is at least three. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 260
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 112052316
- Full Text :
- https://doi.org/10.1016/j.jde.2015.11.017