Pseudo-Abelian integrals along Darboux cycles: A codimension one case (Q2378623)
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| English | Pseudo-Abelian integrals along Darboux cycles: A codimension one case |
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Pseudo-Abelian integrals along Darboux cycles: A codimension one case (English)
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13 January 2009
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The author considers a polynomial perturbation of an integrable non-Hamiltonian system with first integral of Darboux type and studies a degenerate, codimension one case. The main result of the paper is an analog of the Varchenko-Khovanskii theorem for pseudo-Abelian integrals.
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integrable system
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Abelian integral
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limit cycle
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