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The Upper Bound of the Number of Limit Cycles of a Classof Non-Hamiltonian Integrable Systems
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ZHANGTong-hua ZANGHong HANMao-an
DepartmentofMathematics,ShanghaiJiaotongUniversity,Shanghai200240,China
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184/O1
摘 要:
In this paper, we consider the perturbations of two non-Hamiltonian integrable systems(1.3)μ, (4.1)μ. For the former,it is proved that the system under the polynomial perturbations hasat most f-n/2] limit cycles in the finite plane and the upper bound is sharp. The proof relies on acareful analysis of a related Abelian integral. For the latter, we obtain an estimate number of isolatedzeros of the corresponding Abelian integral.
文章出处:
《应用数学》-2004年17卷2期 -186-191页
Mathematica Applicata
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