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

Normal Forms of Hamiltonian Systems

Professor Dr. Vladimir Basov
Faculty of Mathematics and Mechanics
St.Petersburg State University, Russia

Abstract: Equivalence of Hamiltonian systems in the neighborhood of a critical point relatively to the group of formal canonical transformations is considered. Definitions of metanormal and normal forms of a Hamiltonian system that do not require restrictions on the unperturbed part of the Hamiltonian and a method of their finding are introduced. Relationships between the introduced Hamiltonian normal forms and the normal forms of Hamiltonian systems defined by A.D. Bruno and K.R. Meyer are studied. Hamiltonian normal forms for real one degree of freedom Hamiltonian systems are obtained in the case when the unperturbed part of the Hamiltonian is monomial and in the case when the unperturbed part of the Hamiltonian is an irreducible binomial with coprime indices.

Seminarsko predavanje bo v četrtek 6. oktobra ob 16:15 uri v seminarski sobi CAMTP, Krekova 2, pritličje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.

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