Projects / Programmes
Applied Mathematics, Theoretical Physics and Intelligent Systems
January 1, 2009
- December 31, 2014
| 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 |
| P2 |
Natural sciences and mathematics |
P2 |
| Code |
Science |
Field |
| 1.03 |
Natural Sciences |
Physical sciences |
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 (9)
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
Our findings and results contribute to the wealth of knowledge in the basic research in the field of theoretical physics and applied mathematics, namely in the field of nonlinear Dynamics, dynamical systems and classical and quantum chaos (Marko Robnik), in the field of high energy theory, in particular the string theories (Mirjam Cvetič), and in the field of applied mathematics, namely in the field of ordinary differential equations and dynamical systems (Valery Romanovski). In the period 2009-2014 we have published jointly 111 original papers in renowned international journals, the impact of our works is mirrored in our joint cumulative number of papers about 460 and cumulative number of citations, which is about 20000. All above listed members of the research program group have a great number of invited plenary lectures at renowned international conferences and universities and institutes all around the world. It is necessary to emphasize numerous collaborations with top physicists and mathematicians all over the world. In addition, CAMTP organizes even seven series of scientic meetings, almost all of them are internationally and worldwide top meetings, which contributes to the dissemination of scientific information, education of young scientists and stimulations of new scientific ideas, paradigms and collaborations in the world. We carry out the following seven series of scientific meetings: (1) International summer schools and conferences Let's Face Chaos through Nonlinear Dynamics, (2) Christmas symposia of physicists, (3) Japan-Slovenia Seminars, (4) SOCRATES Workshops, (5) European Advanced Studies Conferences, (6) Dynamical systems and symbolic computation, and (7) Out of the Box Conferences. In the latter one (May 2012) we had among the distinguished 30 invited speakers 3 Nobel Prize Winners. In doing so we pay special attention to the development and maintaining of excellent scientific contacts and collaborations with the colleagues in the neighbouring countries of our international area, namely in Austria, Hungary, Italy and Croatia, and in the broader area in particular in Germany and Japan, China, USA and Russia.
Significance for the country
The findings and results of our research program contribute not only to the worldwide wealth of knowledge, but enrich the scientific work in Slovenia on the highest level, as all three working groups (Marko Robnik, Valery Romanovski ter Mirjam Cvetič) dominate in Slovenia, because there are no other researchers working in these fields, with exception of the research group of Prof. Tomaž Prosen at the Faculty of Mathematics and Physics of the University of Ljubljana (FMF UL), which however nicely complements our research activities. The level of our work is evident from the data that we jointly have about 460 original papers and about 20000 citations, h-index about 30 (MR), 15 (VR) ter 72 (MC). In addition we successfully educate young researchers and other PhD students both at FMF UL and at the Faculty of Natural Sciences and Mathematics of the University of Maribor (FNM UM) (so far we had 8 awarded PhD degrees) and take part in the pedagogical process of FNM UM in physics and mathematics at all three stages of the Bologna system. We educate also postdoctoral students from Slovenia and abroad. The foreign researchers, who return to foreign countries, play the role of the ambassadors of the Slovenian science in the world. Furthermore, we are exceptionally active in organizing the elitist national and international meetings. Since 1993 we have organized more than 50 conferences, per year even 2-4 conferences, mainly in the field of physics, some in the field of mathematics (so far 3). We carry out seven series of scientific meetings: (1) International summer schools and conferences Let's Face Chaos through Nonlinear Dynamics, (2) Christmas symposia of physicists, (3) Japan-Slovenia Seminars, (4) SOCRATES Workshops, (5) European Advanced Studies Conferences, (6) Dynamical systems and symbolic computation, and (7) Out of the Box Conferences. In the latter one (May 2012) we had among the 30 invited speakers 3 Nobel Prize Winners. In doing so we pay special attention to the development and maintaining of excellent scientific contacts and collaborations with the colleagues in the neighbouring countries of our international area, namely in Austria, Hungary, Italy and Croatia, and in the broader area in particular in Germany and Japan, China, USA and Russia. All this contributes in an essential way to the promotion of Slovenian science abroad, in fact in the entire world.
Most important scientific results
Annual report
2009,
2010,
2011,
2012,
2013,
final report,
complete report on dLib.si
Most important socioeconomically and culturally relevant results
Annual report
2009,
2010,
2011,
2012,
2013,
final report,
complete report on dLib.si
