Estimate of the number of zeros of Abelian integrals for an elliptic Hamiltonian with figure-of-eight loop

作者: Changjian Liu

DOI: 10.1088/0951-7715/16/3/319

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摘要: We study upper bounds of the number zeros Abelian integrals polynomial 1-forms degree n over compact level curves Γh elliptic Hamiltonian four, having a `figure-of-eight loop'. Upper are given for lying inside figure-of-eight loop and outside loop. The linearly dependent on n.

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