M.Robnik with coworkers publishes a series of papers with a new theory (exact analysis) of the conservation of adiabatic invariants and the energy evolution in time dependend linear oscillator, which is an example of nonautonomous Hamilton systems. We (Kuzmin and Robnik) have also treated the case of arbitrary time dependend external forcing. The theory is now being generalized towards the general nonlinear nonautonomous Hamilton systems.
COBISS.SI-ID: 58752001
M.Robnik and Valery G. Romanovski are editors of the Proceedings of the 7th International Summer School and Conference "Let's Face Chaos through Nonlinear Dynamics", CAMTP, University of Maribor, 29 June - 13 July 2008, which contains mainly original papers by the participants of the 7. International Summer School and Conference and covers the entire nonlinear science.
COBISS.SI-ID: 14991193
(A.06) M.Robnik wrote two entries, based on an invitation, in the Encyclopedia of Nonlinear Science, editor Alwyn Scott, Routledge, New York, 2005, p.3 and 6. This encyclopedia is a very important handbook and reference work for researchers and students in the field of nonlinear science. The contributions (439) have been written on the basis of an invitation by about 300 authors leading experts from all over the world.
COBISS.SI-ID: 54549249
M.Robnik in S.Grossmann have opened a new chapter in the study of statistical properties of non-normal and normal but non-Gaussian ensembles of random matrices, and the work is being continued in researching the non-Gaussian ensembles of random matrices and their relevance in physics. The work is also a basis for the study of localization effects and tunneling effects, which are the reason for the departure from the Berry-Robnik theory at low energies, and we built on that when developing a very successful model in the form of two-dimensional matrrces.
COBISS.SI-ID: 59581953
Gregor Vidmar has successfully completed and defended his PhD. Thesis work entitled "The influence of tunneling on eigenvalue statistics and dynamics in the mixed-type systems", in October 2008, at the Faculty of Mathematics and Physics, University of Ljubljana, under the mentorship of Prof.Dr. Marko Robnik, CAMTP, University of Maribor, where he has been performing research work within the period October 2003 - October 2008 as a "Young Researcher", financially supported by the Slovenian Research Agency (ARRS).
COBISS.SI-ID: 59582209