Aims and Tasks of the Laboratory

Attracting talented youth to science. Increasing the level of knowledge of students and postgraduate students and creating real conditions for their integration into the global scientific community.

Involving students in research on priority areas of nonsmooth systems theory. Enhancing international academic mobility.

Implementation of activities aimed at supporting young scientific and pedagogical staff.

Enhancing the global level of the university’s scientific research and educational activities. Implementing new higher education programs in the interests of the scientific and technological development of the Kyrgyz Republic.

Increasing the share of fundamental scientific research by involving leading foreign scientists with the support of domestic and international research funds.

Implementation of programs for internal and international academic mobility of scientific and pedagogical staff and students.

Dissemination of educational programs and scientific results aimed at training personnel for the real sector of the economy.

Developing the university’s human resource potential by ensuring the reproduction of scientific and pedagogical staff.

Improving research activities at the master’s, postgraduate, and doctoral levels.

Research Directions

• Automatic control of the muscle relaxant dose during general anesthesia
• Global dynamics of nonsmooth systems
• Nonsmooth reflections in power electronics
• Bifurcations in two-dimensional systems
• Mathematical modeling of testosterone levels
• Discontinuous reflections
• Quasiperiodicity and invariant curves
• Multistability and hidden attractors

Presentations at Scientific Conferences

The results of scientific research have been presented at major international conferences on nonlinear dynamics, control theory, power electronics, mechanics, biology, and medicine.

The conferences were held in Russia, Denmark, England, Ireland, Germany, Sweden, Canada, Greece, the Netherlands, the USA, France, Italy, South Africa, Spain, Japan, Poland, India, Switzerland, and Austria.

Publications

Based on the research results, more than 100 scientific articles have been published in high-ranking international journals.

• IEEE Transactions on Circuits and Systems-I
• IEEE Transactions on Power Electronics
• Chaos
• Physical Review E
• Physica D
• International Journal of Bifurcation and Chaos
• IEEE Transactions on Industrial Informatics
• Chaos, Solitons and Fractals
• Nonlinear Dynamics
• Mathematics and Computers in Simulation
• Nonlinear Analysis: Hybrid Systems
• Physics Letters A
• Computer Methods and Programs in Biomedicine

Партнеры

The laboratory was established in 2020 in the Russian Federation on the basis of the Southwest State University.

• Prof. Laura Gardini — University of Urbino Carlo Bo, Italy
• Prof. Mario di Bernardo — University of Naples Federico II, Italy
• Prof. Alexander Medvedev — Uppsala University, Sweden
• Prof. Nikolay V. Kuznetsov — Saint Petersburg State University
• Prof. Anton V. Proskurnikov — Polytechnic University of Turin, Italy
• Prof. Petri Piiroinen — Chalmers University of Technology, Sweden
• Prof. Viktor Avrutin — University of Stuttgart, Germany
• Prof. Abdelali El Aroudi — Universitat Rovira i Virgili, Spain
• Prof. Soumitro Banerjee — IISER Kolkata, India
• Prof. Gerard Olivar Tost — University of Aysen, Chile

Training of Highly Qualified Personnel

Under the supervision of Professor Zhusubaliev Zh. T., eleven PhD dissertations have been defended.

• Babkovsky A. G. (1998)
• Koschinsky S. L. (1998)
• Rudakov V. N. (1998)
• Pinaev S. V. (1999)
• Emelyanova E. Yu. (2000)
• Ivanova E. N. (2003)
• Sukhoterin E. A. (2004)
• Chevychelov S. Yu. (2009)
• Yanochkina O. O. (2011)
• Goltsov Yu. A. (2021)
• Abdirasulov A. Z. (2025)

PhD Dissertations

• Laugesen J. L. — Technical University of Denmark (2011)
• Silva M. M. — Uppsala University, Sweden (2014), Bjurzons Prize Laureate
• Mattsson P. — Uppsala University, Sweden (2016)
• Yamalova D. — Uppsala University, Sweden (2019)

Currently, Professor Zhusubaliev Zh. T. works at the Department of Applied Mathematics, Informatics, and Graphic Design at Osh State University.

Main Monographs