On the number of limit cycles in double homoclinic bifurcations
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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.
Keywordhomoclinic orbit bifurcation limit cycle
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