Abstract: In this paper, we study the bifurcation problem of limit cycles for a near-Hamiltonian system near a 2-polycycle or double 2-polycycle. We obtain new results on the number of limit cycles by using the method of stability-changing of a homoclinic loop. This method also provides a new way to find alien limit cycles. Especially, we found some alien limit cycles of new type.
Seminarsko predavanje bo v sredo 8. oktobra 2014 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.