Abstract: We mainly concern with limit cycle bifurcations by perturbing a piecewise Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits. we perturb one phase portrait of them by piecewise polynomials, and consider lower bounds for the maximal numbers of limit cycles emerging from the origin and generalized homoclinic loop, respectively.
Seminarsko predavanje bo v petek 10. oktobra 2014 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.