Abstract
© 2015 Elsevier Inc. In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].
Original language | English |
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Pages (from-to) | 7135-7160 |
Journal | Journal of Differential Equations |
Volume | 259 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1 Jan 2015 |
Keywords
- Bifurcation of limit cycles
- Quasi-homogeneous centers
- Quasi-homogeneous polynomial differential equations