The number of limit cycles of polynomial deformations of a Hamiltonian vector field
1990 ◽
Vol 10
(3)
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pp. 523-529
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Keyword(s):
AbstractWe prove that the lowest upper bound for the number of limit cycles of small nonconservative polynomial deformations of degree n of the Hamiltonian vector field is n − 1.A consequence is that the lowest upper bound for the number of limit cycles of generic n-parameter deformations of cusps is n − 1.
2000 ◽
Vol 20
(6)
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pp. 1671-1686
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Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11
2006 ◽
Vol 30
(3)
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pp. 606-621
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2019 ◽
Vol 475
(2223)
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pp. 20180761
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Keyword(s):
2004 ◽
Vol 10
(4)
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pp. 545-575
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1991 ◽
Vol 44
(1)
◽
pp. 139-147
1993 ◽
Vol 08
(15)
◽
pp. 1433-1442
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2018 ◽
Vol 28
(01)
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pp. 1850011