\epsfig{file=camtp.eps,height=8mm,width=\textwidth}
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

What can a damping coefficient do in a two-dimensional non-integrable time-dependent billiard?

Diego Fregolente Mendes de Oliveira
CAMTP, University of Maribor

Abstract: The interest in understanding the dynamics of billiard problems goes back to the work of Birkhoff in 1927. Inside the billiard, a point particle is freely moving along a straight line until it hits the boundary. Upon the collision, it is assumed that the particle is specularly reflected. In our work, we revisit the problem of a billiard particle bouncing inside a periodically time varying oval billiard and study the aspects of Fermi acceleration. The problem is described using a four dimensional mapping. Our main goal is to understand and describe the behaviour of the particle's average velocity (and hence its energy - Fermi acceleration) as a function of the number of collisions and to study the effects of dissipation. We observed that depending on what kind of dissipation we introduce one can observe different asymptotic behaviours including transients, attracting fixed points and locking, chaotic attractors and even crisis events as the damping coefficients are varied.
References: E. D. Leonel, D. F. M. Oliveira, A. Loskutov, Chaos. 19, (2009) 033142(1-11); D. F. M. Oliveira, E. D. Leonel, Physica A. accepted for publication, 2009.

Seminarsko predavanje (v angleškem jeziku) bo v četrtek 18. februarja 2010 15:15 uri v seminarski sobi CAMTP na Krekovi 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.

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