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The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop - MaRDI portal

The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop (Q1697722)

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scientific article; zbMATH DE number 6841284
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The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop
scientific article; zbMATH DE number 6841284

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    The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop (English)
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    20 February 2018
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    The authors consider the upper bounds of the number of isolated zeros of abelian integrals associated to a class of hyper-elliptic Hamiltonian systems under perturbations. The unperturbed system has a double eight figure loop. The sharp upper bounds are obtained for ten cases that two of five parameters vanish.
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    double-eight figure loop
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    abelian integral
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    Chebyshev system
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