Abstract: We study the problem of simultaneous existence of two centers and two isochronous centers in a planar -equivariant system. Since the existence of a center is equivalent to integrability of the system and isochronicity is equivalent to its linearizability using the computer algebra systems Mathematica and Singular we look for necessary conditions for existence of a first integral and a linearizing change of coordinates for the system. To prove the sufficiency of the obtained conditions the Darboux method for constructing a first integral and a linearizing change of coordinates by means of invariant curves is used.
Seminarsko predavanje (v angleškem jeziku) bo v sredo 27. januarja 2016 ob 15:15 uri v seminarski sobi CAMTP, Mladinska 3, drugo nadstropje levo. Vljudno vabljeni vsi zainteresirani, tudi študentje.