CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO
UNIVERZA V MARIBORU $\bullet$ UNIVERSITY OF MARIBOR
MLADINSKA 3 $\bullet$ SI-2000 MARIBOR $\bullet$ SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, MEMBER OF EASA, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

Investigation of centers and isochronous centers for a class of $Z_2$-equivariant systems

Wilker Fernandes

ICMC-Universidade de São Paulo, Campus São Carlos, Brazil

Abstract: We study the problem of simultaneous existence of two centers and two isochronous centers in a planar $Z_2$-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.

Prof.Dr. Marko Robnik
-- Direktor CAMTP --