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

On Birkhoff-Moser normal forms

George Papamikos, MSc
CAMTP - Center for Applied Mathematics and Theoretical Physics,
University of Maribor

Abstract: In this talk, we will discuss some results, due to G. D. Birkhoff and J. Moser, which allow us to determine a normal form for a nonlinear (in general) dynamical system of a particular type. Namely, we will consider a Hamiltonian system of one degree of freedom having a hyperbolic saddle point in the phase space and we will see that under a suitable change of coordinates this system is transformed to a simpler one that is locally solvable. Moreover, we will apply these results to some toy models and then we will see (briefly) a modern application, due to S. L. Ziglin.

Seminarsko predavanje (v angleškem jeziku) bo v četrtek 7. maja 2009 ob 15:15 uri v seminarski sobi CAMTP na Krekovi 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.

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