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- Title
Limit cycles for a class of polynomial differential systems.
- Authors
Jianyuan Qiao; Shuliang Shui
- Abstract
In this paper, we consider the limit cycles of a class of polynomial differential systems of the form x = - y2p-1, y = x2mp-1 + ε(px2mp + qy2p)(g(x, y) - A), where g(x, y) is a polynomial. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first order.
- Subjects
LIMIT cycles; DIFFERENTIAL dimension polynomials; BIFURCATION theory; TRIGONOMETRIC functions; AVERAGING method (Differential equations); COMBINATORIAL dynamics
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2016, Issue 1-122, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2016.1.9