Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems
2015 ◽
Vol 25
(10)
◽
pp. 1550135
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Keyword(s):
In this paper, we first classify all centers of a class of quasi-homogeneous polynomial differential systems of degree 5. Then we extend this kind of systems to a generalized polynomial differential system and provide the necessary and sufficient conditions to have a center at the origin. Furthermore, we study the Poincaré bifurcation for its perturbed system as it has a center at the origin, find the Poincaré cyclicity up to first order of ε.
2017 ◽
Vol 149
(1)
◽
pp. 1-14
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1934 ◽
Vol 4
(1)
◽
pp. 36-40
2015 ◽
Vol 25
(10)
◽
pp. 1550131
◽
2015 ◽
Vol 2015
◽
pp. 1-10
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2020 ◽
Vol 30
(08)
◽
pp. 2050115
2010 ◽
Vol 2010
◽
pp. 1-11
◽