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Perturbations of quadratic Hamiltonian two-saddle cycles

Speaker(s)
Lubomir Gavrilov
Affiliation
Institute de Mathematiques de Toulouse
Date
April 15, 2011, 10:15 a.m.
Room
room 5840
Seminar
Seminar of Dynamical Systems Group

Let X0 be a Hamiltonian plane vector field having a double saddle loop. We prove that quadratic perturbation can generate at most two limit cycles from the loop.