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On the number of limit cycles in double homoclinic bifurcations
Authors:HAN Maoan  CHEN Jian
Institution:Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China
Abstract:LetL be a double homoclinic loop of a Hamiltonian system on the plane. We obtain a condition under whichL generates at most two large limit cycles by perturbations. We also give conditions for the existence of at most five or six limit cycles which appear nearL under perturbations.
Keywords:homoclinic orbit  bifurcation  limit cycle
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