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Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle
Affiliation:1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China;2. Department of Mathematics, Swinburne University of Technology, Hawthorn VIC 3122, Australia;1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, PR China;2. Department of Applied Mathematics, Western University, London, Ontario N6A 5B7, Canada
Abstract:
Keywords:Hamiltonian system  Abelian integral  Weakened Hilbert’s 16th problem  Picard–Fuchs equation  Chebyshev space
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