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 teoreticno fiziko

Explaining a scaling in a set of Hamiltonian mappings whose angles diverge in the limit of vanishing action

Professor Dr. Edson Denis Leonel
UNESP - State University of São Paolo at Rio Claro, Brazil

Abstract: In this talk, I discuss how to obtain some critical exponents that describe a transition from integrability to non-integrability in a two-dimensional, nonlinear and area-preserving map. The procedure uses a connection with a standard map in the localisation of the first invariant tori in the phase space where a transition takes place from local to global chaos. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori whose position of the first of them depends on the control parameters. The formalism leads us to obtain analytically critical exponents that describe the behaviour of the average variable (action) along the chaotic sea. The result is compared to several models in the literature. At the end we give also a glance of some results in classical billiard dynamics.

Seminarsko predavanje bo v petek 6. julija 2012 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritlicje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.

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