NASU Institute of Mathematics

Institute of Mathematics of the National Academy of Sciences of Ukraine (Ukrainian: Інститут математики Національної академії наук України) is a government-owned research institute in Ukraine that carries out basic research and trains highly qualified professionals in the field of mathematics. It was founded on 13 February 1934.[1]

Institute of Mathematics
EstablishedFebruary 13, 1934 (1934-02-13)
DirectorAlexander Timokha
Staff112
Address3, Tereschenkivska st. Kyiv-4, 01004 Ukraine
Location
Kyiv
,
Ukraine
Coordinates50°26′39.84″N 30°30′58.63″E
Websitewww.imath.kiev.ua

Notable research results

The perturbation theory of toroidal invariant manifolds of dynamical systems was developed here by academician M. M. Bogolyubov, Yu. O. Mitropolsky, academician of the NAS of Ukraine and the Russian Academy of Sciences, and A. M. Samoilenko, academician of the NAS of Ukraine. The theory's methods are used to investigate oscillation processes in broad classes of applied problems, in particular, the phenomena of passing through resonance and various bifurcations and synchronizations.

Sharkovsky's order theorem was devised by its author while he worked for the institute. It became the basis for the theory of one-dimensional dynamical systems that enabled the study of chaotic evolutions in deterministic systems, and, in particular, of ‘ideal turbulence’.

The school of the NAS academician Yu. M. Berezansky constructed the theory of generalized functions of infinitely many variables on the basis of spectral approach and operators of generalized translation.

The school of the NAS academician A. V. Skorokhod investigated a broad range of problems related to random processes and stochastic differential equations.

Heuristic methods of phase lumping of complex systems were validated, important results in queuing theory and reliability theory were obtained, and a series of limit theorems for semi-Markov processes were proved by V. S. Korolyuk, academician of the NAS of Ukraine. He has also constructed the Poisson approximation for stochastic homogeneous additive functional with semi-Markov switching.

Directors

Scientific departments

Publications

The Institute publishes several scientific journals:

  • Methods of Functional Analysis and Topology
  • Nonlinear Oscillations
  • Symmetry, integrability and Geometry: Methods and Applications (SIGMA)
  • Ukrainian Mathematical Journal

References
  1. "History of the Institute" (in Ukrainian). Institute of Mathematics. Retrieved 29 June 2013.
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