Weak Center and Bifurcation of Critical Periods in a Cubic Z2-Equivariant Hamiltonian Vector Field
2015 ◽
Vol 25
(11)
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pp. 1550143
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Keyword(s):
This paper focuses on the problems of weak center and local bifurcation of critical periods for a class of cubic Z2-equivariant planar Hamiltonian vector fields. By computing the period constants carefully, one can see that there are three weak centers: (±1, 0) and the origin. The corresponding weak center conditions are also derived. Meanwhile, we address the problem of the coexistence of bifurcation of critical periods that occurred from (±1, 0) and the origin.
1993 ◽
Vol 36
(4)
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pp. 473-484
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Keyword(s):
2000 ◽
Vol 20
(6)
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pp. 1671-1686
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Keyword(s):
2011 ◽
Vol 217
(15)
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pp. 6637-6643
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2013 ◽
Vol 24
(07)
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pp. 1350057
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Keyword(s):
2016 ◽
Vol 13
(05)
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pp. 1650071
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2003 ◽
Vol 44
(3)
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pp. 1173-1182
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