The Regional Research and Education Mathematics Centre "Mathematics of the future technologies" was established on 17 December 2019 by the decision of the Coordinating Council of the Russian Ministry of Science and Higher Education, The Centre is based at three organisations:

• Lobachevsky State University of Nizhny Novgorod,

• Institute of Applied Physics of the Russian Academy of Sciences (Nizhny Novgorod),

• Saratov State University.

The goals and objectives of the Centre:

• • to develop world-class mathematical research in the field of nonlinear dynamics and its applications with a focus on the development of mathematical methods and computational technologies for solving priority problems in various areas of natural sciences, ecology, medicine and technology.
• • to train highly qualified personnel in mathematics, applied mathematics, computer science and mechanics for developing new breakthrough technologies,
• • to strengthen the positions of the Russian school of nonlinear oscillations theory in the global scientific community.

The main areas of research include:

• • theory of dynamical systems and bifurcations;
• • mathematical modelling and research of nonlinear dynamics of control systems and processes;
• • methods of high-performance computing for world-class basic and applied research;
• • models and methods of artificial intelligence.

Expected outcomes:

• • Scientific results in the field of theory of dynamical systems and methods of qualitative numerical research of mathematical models of phenomena and processes in nature and in technical systems.
• • Significant progress in the development of new technologies focused on digital personalised medicine and the prevention of natural, technical and environmental disasters.

Research is carried out by 14 research groups that bring together experts from Lobachevsky University, the Applied Physics Institute of the Russian Academy of Sciences (Nizhny Novgorod) and the Saratov State University. The work is organized in the following research laboratories:

• • Theory of dynamical systems and bifurcations
• • Extreme event research
• • Oscillation processes in dynamic networks
• • Global reconstruction of dynamical systems based on measurement data
• • Methods for qualitative and numerical research of nonlinear dynamics in neuron-like systems
• • Mathematical models and methods for solving nonlinear dynamics problems in mechanics
• • Dynamical systems control under conditions of uncertainty
• • Methods for studying fundamental nonlinear phenomena and their application in personalised medicine
• • Mathematical modelling of neuron-glial networks in the brain
• • Machine learning technologies in mathematical modelling of complex quantum systems
• • Simulation of regular and chaotic dynamics of high-power microwave generators with distributed electron-wave interaction
• • Mathematical and numerical modelling of the global electrodynamics in the atmosphere
• • High-performance computing methods for basic and applied research
• • Methods and models of artificial intelligence.