Institute of Mathematics of the

National Academy of Sciences of Ukraine The National Academy of Sciences of Ukraine (NASU; uk, Національна академія наук України, ''Natsional’na akademiya nauk Ukrayiny'', abbr: NAN Ukraine) is a self-governing state-funded organization in Ukraine th ...

( uk, Інститут математики Національної академії наук України) is a government-owned

research institute A research institute, research centre, research center or research organization, is an establishment founded for doing research. Research institutes may specialize in basic research or may be oriented to applied research. Although the term often i ...

Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...

that carries out basic research and trains highly qualified professionals in the field of mathematics. It was founded on 13 February 1934.

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 The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...

, 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 process In probability and statistics, a Markov renewal process (MRP) is a random process that generalizes the notion of Markov jump processes. Other random processes like Markov chains, Poisson processes and renewal processes can be derived as special ...

es 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

* 1934 — 1939

Dmitry Grave Dmitry Aleksandrovich Grave (russian: Дми́трий Алекса́ндрович Гра́ве; September 6, 1863 – December 19, 1939) was an Imperial Russian and Soviet mathematician. Naum Akhiezer, Nikolai Chebotaryov, Mikhail Kravchuk, an ...

* 1939 — 1941

Mikhail Lavrentyev Mikhail Alekseevich Lavrentyev (or Lavrentiev, russian: Михаи́л Алексе́евич Лавре́нтьев) (November 19, 1900 – October 15, 1980) was a Soviet Union, Soviet mathematician and hydrodynamics, hydrodynamicist. Early years ...

* 1941 — 1944 Yurii Pfeiffer, united institute of mathematics and physics * 1944 — 1948

* 1948 — 1955

Aleksandr Ishlinskiy Alexander is a male given name. The most prominent bearer of the name is Alexander the Great, the king of the Ancient Greek kingdom of Macedonia who created one of the largest empires in ancient history. Variants listed here are Aleksandar, Al ...

* 1955 — 1958 Boris Gnedenko * 1958 — 1988

Yurii Mitropolskiy Yurii Alekseevich Mitropolskiy ( uk, Юрій Олексійович Митропольський; 3 January 1917 – 14 June 2008) was a renowned Soviet and Ukrainian mathematician known for his contributions to the fields of dynamical systems a ...

* 1988 — 2020

Anatoly Samoilenko Anatoly Mykhailovych Samoilenko ( uk, Анато́лій Миха́йлович Само́йленко) (2 January 1938 – 4 December 2020) was a Ukrainian mathematician, an Academician of the National Academy of Sciences of Ukraine (since 1995 ...

* 2021 — Alexander Timokha

Scientific departments

* Algebra * Analytical mechanics * Applied researches *

Approximation theory In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characteri ...

Complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...

and

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravi ...

* Differential equations and oscillation theory * Dynamics and stability of multi-dimensional systems * Fractal Analysis * Functional Analysis * Mathematical physics * Nonlinear analysis *

Numerical mathematics Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods th ...

* Partial differential equations * Theory of dynamical systems * Theory of functions * Theory of random processes *

Topology In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such ...

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 Ukrainian may refer to: * Something of, from, or related to Ukraine * Something relating to Ukrainians, an East Slavic people from Eastern Europe * Something relating to demographics of Ukraine in terms of demography and population of Ukraine * Som ...

References

External links

*
Official Facebook Page

Page on Math-Net.Ru
{{DEFAULTSORT:Institute Of Mathematics Of The National Academy Of Sciences Of Ukraine Institutes of the National Academy of Sciences of Ukraine Research institutes in the Soviet Union Science and technology in Ukraine Scientific organizations based in Ukraine Research institutes in Kyiv Mathematical institutes Research institutes established in 1934 1934 establishments in the Soviet Union