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

First integrals of the May-Leonard asymmetric system

Wilker Fernandes

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

Abstract: We investigate the existence of first integrals in the three dimensional May-Leonard asymmetric system. Using the computational algebra systems Mathematica and Singular we first look for families of the May-Leonard asymmetric system admitting invariant surfaces of degree two. Then using these invariant surfaces and invariant planes we construct first integrals of the Darboux type identifying subfamilies of such system admitting one first integral and two independent first integrals.

Seminarsko predavanje (v angleškem jeziku) bo v sredo 31. avgusta 2016 ob 12:00 uri v seminarski sobi CAMTP, Mladinska 3, drugo nadstropje levo. Vljudno vabljeni vsi zainteresirani, tudi študentje.

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