Abstract
In this paper we mainly study the number of limit cycles which can bifurcate from the periodic orbits of the two centers ẋ=-y, ẏ=x; ẋ=-y(1-(x2+y2)2), ẏ=x(1-(x2+y2)2); when they are perturbed inside the class of all polynomial differential systems with quintic homogeneous nonlinearities. We do this study using the averaging theory of first, second and third orders. © 2013 Elsevier Ltd.
Original language | English |
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Pages (from-to) | 16-22 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 407 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Nov 2013 |
Keywords
- Averaging method
- Center
- Limit cycle
- Periodic orbit
- Reversible center