Projects / Programmes
Applied Mathematics, Theoretical Physics and Intelligent Systems
January 1, 2004
- December 31, 2008
| Code |
Science |
Field |
Subfield |
| 1.02.00 |
Natural sciences and mathematics |
Physics |
|
| 1.01.00 |
Natural sciences and mathematics |
Mathematics |
|
| 2.07.00 |
Engineering sciences and technologies |
Computer science and informatics |
|
| Code |
Science |
Field |
| P002 |
Natural sciences and mathematics |
Physics |
applied mathematics, theoretical physics, nonlinear dynamics, theory of classical and quantum chaos, dynamical systems and differential equations, nonlinear science, theoretical astrophysics, classical and quantum field theory
Researchers (8)
Organisations (1)
Abstract
Our research programme deals with some recently very topical fields in applied mathematics, theoretical physics and partly
intelligent systems. In the first place we work in the following fields:
nonlinear science, especially nonlinear dynamics, theory of classical and quantum chaos, theory of dynamical systems from the point of view of theory of differential equations, some subjects in mathematical physics such as development of WKB method and of semiclassical methods of solving the Schroedinger equation and other wave equations of mathematical physics. And also: development and application of supersymmetric methods in theoretical physics, quantum and classical field theory, fluid dynamics from the point of view of nonlinear dynamics, especially theory of turbulence, plasma physics from the point of view of nonlinear dynamics, and implementation and development of the computer algebra (MATHEMATICA and REDUCE).
Significance for science
The fields and the results of our basic and applied research are of great importance for the development of science not only in the national framework but also in the worldwide perspective, which is clearly demonstrated in numerous publications (especially original papers) and in SCI citations of our research so far (about 300 original papers and 2600 SCI citations for the core group, and 550 papers and 12.000 SCI citations with Prof. Mirjam Cvetič). Our most frequently cited papers have several hundred SCI citations per single paper and belong to the so-called famous papers, which do influence the future development of science worldwide. Thus we are contributing knowledge in basic sciences and applied sciences. The international reputation of our research is mirrored also in numerous invited lectures all over the world (approximately per year: Robnik 5, Romanovski 3, Cvetič 10, Veble 3, Korošak 3).
Significance for the country
Our res. programme has great importance for the development of science in Slovenia, as it promotes Slovenian science in the world through the important results, conferences, educates young researchers and postdoctoral coworkers, not only from Slovenia, but also from abroad, and enriches the knowledge, which is useful also in applications. It represents a core, which is of great importance for the further development of physics at the University of Maribor, especially at the new Faculty of Natural Sciences and Mathematics, in particular in the field of interdisciplinary physics. Therefore the research programme is important also for the pedagogical processes at Slovenian faculties, in particular in Maribor. The members of CAMTP are involved in numerous programmes of physics and mathematics at UM, UL, UNG and MPŠ JS. CAMTP has educated a number of excellent young PhD students and postdoctoral coworkers from Slovenia and abroad (Prof.Dr. Tomaž Prosen, FMF University of Ljubljana, PhD in 1995, Assist.Prof.Dr. Gregor Veble, University of Nova Gorica, PhD in 2001, Prof.Dr. Baowen Li, NU of Singapore, member 1993-6, Prof.Dr. Luca Salasnich, University of Padova, member 1996, Prof.Dr. George Krylov, Belarusian State University, Minsk, member 1997-9, Prof.Dr. Andrei V. Kuzmin, Belarus Academy of Sciences, Minsk, member 2005, Prof.Dr. Valery Romanovski, now at CAMTP, member in 1995, 1997, and 1999, Assist. Prof.Dr. Andreas Ruffing, Technical University of Munich, member 2006-7, Assist.Prof.Dr. Junxian Liu, University at Gulian City, PR China, member 1996-8). Conferences: CAMTP organizes 5 series of conference events: (i) Int'l summer schools and conferences »Let's Face Chaos through Nonlinear Dynamics« (every 3 years, 2008 already 7th, about 100 participants, two weeks, world-top event), (ii) European Advanced Studies Conferences (every year, three days, about 40 participants, 2008 already 9th), (iii) Japan-Slovenia Seminars on Nonlinear Science (twice per year, in July in Maribor, and in November in Japan, about 40-70 participants, 3-5 days programme, 2008 already 10th and 11th), (iv) SOCRATES Workshops (once per year, 2-3 invited lecturers, 20-30 participants, the last one (4th) in Febr. 2009 at CAMTP in Maribor), and (v) Christmas Symposia of Physicists (every year, 3 days, about 40 participants, 2008 the 7th). These conference activities are without any doubt an excellent promotion of the Slovenian science, as they are all worldwide top events, where we offer to the best and the youngest Slovenian scientists the opportunity to present their work before the worldwide elite audience. I would like to emphasize the importance of the int'l summer schools and conferences »Let's Face Chaos through Nonlinear Dynamics«, which are truly world top elite, for we have five Honorary Directors, distinguished Professors Giulio Casati, Como, Italy, Predrag Cvitanović, Atlanta, USA, Theo Geisel, Goettingen, Germany, Siegfried Grossmann, Marburg, Germany, and Hermann Haken, Stuttgart, Germany. We have about 48 invited lecturers, the leading experts from all over the world, and about 60 other participants, mainly PhD students and postdoctoral coworkers from the best research groups from all over the world. The meeting always runs over 2 weeks, we have 77 (60 minutes) lectures, plus about 20 short reports, and 30-40 posters. Invited are also the best Slovenian scientists in this field and Slovenia can be represented in the best possible way. The scientific programme is accompanied by a series of cultural events (4 chamber music concerts, the exhibition of some best Slovenian artists, evening lectures of the Slovenian intellectuals, and the meeting takes place exactly during the festival Lent in Maribor, which puts the scientific event into a special cultural environment). We believe that our meetings thus incorporate also a cultural promotion of Slovenia and in other respects. The other conference meetings mentioned above also
Most important scientific results
Final report,
complete report on dLib.si
Most important socioeconomically and culturally relevant results
Final report,
complete report on dLib.si
