Abelian integrals for cubic vector fields |
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| Authors: | Yulin Zhao Zhifen Zhang |
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| Institution: | (1) Department of Mathematics, Peking University, 100871 Beijing, P. R. China |
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| Abstract: | It is proved in this paper that the lowest upper bound of the number of the isolated zeros of the Abelian integral is two for h∈(−1/12, 0), where Γh is the compact component of H(x, y)=(1/2) y2+(1/3) x3+(1/4) x4=h, and α, β, γ are arbitrary constants.
Entrata in Redazione il 4 dicembre 1997.
Partially supported by NSF and DPF of China. |
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