CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR
KREKOVA 2 SI-2000 MARIBOR 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, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

Expansion of Melnikov Functions and Limit Cycle Bifurcation

Professor Dr. Maoan Han

Department of Mathematics, Shanghai Normal University, P.R. China

Abstract: In the study of the perturbation of Hamiltonian systems, the first order Melnikov functions plays an important role. By finding its zeros we can find limit cycles. By analyzing its analytical property we can find its zeros. In the talk we present some methods to find its zeros through the expansions of the Melnikov function at a Hamiltonian value corresponding to an elementary center, nilpotent center or a homoclinic or heteroclinic loop with hyperbolic saddles or nilpotent critical points. Then we list some results on the limit cycle bifurcation by using the first coeffcients of the expansions.

Seminarsko predavanje bo v četrtek 18. avgusta 2011 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje. Vljudno vabljeni vsi zainteresirani, tudi študenti.

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