CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU $\bullet$ UNIVERSITY OF MARIBOR
KREKOVA 2 $\bullet$ 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, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

Limit cycle bifurcations of a class of piecewise smooth Liénard systems

Ms. Yuanyuan Liu
Department of Mathematics, Shanghai Normal University, China

Abstract: In this paper, we consider a class of piecewise smooth Li${\acute{e}}$nard systems as follows $\dot{x}=y, \quad\dot{y}=-g(x)-\epsilon f(x)y$, where $g(x)$ and $f(x)$ are piecewise polynomials. We classify the unperturbed system into three types and study the bifurcation of limit cycles for the above system. By studying the expansions of the first order Melnikov function, we give some new results on the number of limit cycles in Hopf and homoclinic bifurcations.

Seminarsko predavanje bo v torek 20. avgusta 2013 ob 16:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.

Prof.Dr. Marko Robnik
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