Ikhsanov Yersain Valitkhanovich
Rector, Professor of AEHI (Atyrau Engineering-Humanitarian Institute)
Ikhsanov Yersain Valitkhanovich- Rector of Atyrau Engineering-Humanitarian Institute, Doctor of Physical and Mathematical Sciences, Professor, Corresponding Member of the National Academy of Sciences of the Republic of Kazakhstan.
|Education||Kazakh State Pedagogical Institute named after Abai, Faculty of Mathematics, 1971 Postgraduate study Kazakh National Pedagogical University named after Abai, 1976-1979|
|Professional activity||1971-1976 Teacher at the Department of Elementary Mathematics of Guryev Pedagogical Institute. 1976-1979 Postgraduate student at Kazakh National Pedagogical University named after Abai. 1979-1991 Senior Lecturer, Associate Professor of the Department of Mathematical Analysis of the Guryev Pedagogical Institute. 1991-1997 Head of the Department of Higher Mathematics of Atyrau Institute of Oil and Gas. 1997-2001 Head of ECP (Educational consultation point), director of the Atyrau branch of the UNAT Institute. 2001 – present – Rector of the Atyrau Engineering and Humanitarian Institute.|
|Scientific works||3 monographs, more than 80 scientific articles on differential equations, theory of stability of motion, stationary motions and their stability in problems of celestial mechanics and cosmodynamics.|
|Social activities||A member of the Nur Otan party, a deputy of the city maslikhat of the IVth convocation, a deputy of the Atyrau regional maslikhat of the V, VI-convocations.|
|Academic degrees and titles||1990 defense of a candidate’s dissertation “Periodic motions of a symmetric satellite in the vicinity of a conical precession” in the specialty “Theoretical mechanics” for the degree of candidate of physical and mathematical sciences. 2005 defense of a doctoral dissertation “The problem of stability according to Lyapunov in new models of celestial mechanics” in the specialty “Celestial mechanics and astrometry” for the degree of Doctor of Physical and Mathematical Sciences. 2007 academic title of professor. 2008 academician of the Kazakhstan National Academy of Natural Sciences of the Republic of Kazakhstan. 2011 Academician of the International Academy of Informatization. 2012 Academician of the National Engineering Academy of the Republic of Kazakhstan. 2020 Corresponding Member of the National Academy of Sciences of the Republic of Kazakhstan.|
|Functions||Carries out general management of educational and methodological, scientific research, economic and financial, administrative, and economic activities of the Institute. Organizes the current and forward planning of the Institute’s activities. Carries out measures to integrate the institute into the global educational area, expand mutually beneficial cooperation with leading higher educational institutions, scientists from near and far abroad on scientific and technical cooperation, actively uses and develops modern information technologies. Manages the financial resources of the Institute, ensures their effective and targeted use. Carries out, in accordance with the legislation, timely deductions of tax and other mandatory payments, contributions. Approves the management structure of the institute, staffing, job descriptions of employees. In accordance with labor legislation, he decides on the hiring and dismissal of employees, applies incentives and imposes penalties on employees. Conducts, in accordance with the established procedure, certification of scientific and pedagogical workers, competitions for filling vacant positions of the teaching staff and scientific workers. Provides systematic professional development of employees. Supervises the work of the Academic Council and the Board of Trustees. Carries out control over the organization of the formation of a contingent of students in accordance with the license for the right to conduct educational activities, control over the provision of accounting, safety and replenishment of the educational material base, over compliance with the requirements of legislative and other regulatory legal acts on labor protection, safety, over the fulfillment of contractual obligations institute. Provides economical and rational use of the wage fund. Disposes of the property and funds of the Institute within the limits established by the legislation of the Republic of Kazakhstan. Submits an annual report to the Academic Council on the results of educational and scientific activities of the Institute. Represents the interests of the Institute in all bodies and carries out other activities not prohibited by the legislation of the Republic of Kazakhstan and provided for by the Charter of the Institute.|
All pedagogical activity of E.V. Ikhsanov is connected with higher education. In 1971-1991, he worked as a teacher, senior teacher, assistant professor at the Guryev Pedagogical Institute. From 1991 to 1997 – Head of the Department of Higher Mathematics and Computer Engineering of the Atyrau Institute of Oil and Gas. In 1997-2001 – Director of the Atyrau branch of the UNAT Institute, and from 2001 to the present, he is the permanent rector of the Atyrau Engineering and Humanitarian Institute.
The institute, headed by him for 20 years, is rightfully considered a modern university in the western region of the country, which has achieved significant results in its development and in the training of highly qualified, competitive specialists in demand on the labor market.
He pays special attention to the introduction of new technologies in teaching mathematics, physics and other natural science disciplines, to the promotion and activation of mathematical education among students, to hold regional mathematical Olympiads, as well as informatization of education.
Much attention is paid to strengthening the material base of the institute. Today the institute has 3 new buildings and a dormitory. Educational laboratories equipped with modern innovative and multimedia installations are being acquired.
In 2019, the institute has successfully passed institutional and specialized accreditation for 5 years.
The Institute carries out purposeful work to promote and employ graduates on the basis of establishing constant communication with potential employers by concluding long-term cooperation agreements and introducing dual training.
The results of the rating of educational programs of universities of the Republic of Kazakhstan in 2019, which was carried out by the NСE RK “Atameken” together with the Ministry of Education and Science of the Republic of Kazakhstan, indicate the leading positions of the institute in the specialties “Economics” (4th place), “Construction” (4th place), “Oil and Gas Business” (10 place), “Radio engineering, electronics and telecommunications” (14th place), “Standardization, certification and metrology” (16th place), “Automation and control” (20th place).
According to the results of the Ranking of universities of the Republic of Kazakhstan, held in 2020. The institute took 19th place by the authoritative Agency of the IAAR in the country. These indicators testify to the high level of activity of the institute.
According to the “Rukhani Zhangyru” program, AIGI has developed a single integrated system of professional and social competencies of graduates. Activists of the Committee for Youth Affairs hold events of various scales: the anti-corruption club “Sanaly Urpak”, the volunteer center “RAY of HOPE”, the debate club “Gladiator”, the student group “Zhasyl El”, etc.
Field of scientific interests and main scientific achievements
Ikhsanov E.V. is a renowned scientist in the field of the theory of differential equations, celestial mechanics and space dynamics.
His formation as a scientist took place in the scientific schools of the Lomonosov Moscow State University, the Moscow Aviation Institute named after Ordzhonikidze and the Institute of Theoretical Astronomy of the USSR Academy of Sciences, where he worked on his Ph.D. thesis “Periodic motions of a symmetric satellite in the vicinity of a conical precession” from 1984-1990, under the guidance of the USSR State Prize laureate, Professor E.A. Grebenikov, and the famous scientist, Professor A.G. Sokolsky.
During this period, he carried out fundamental research on the numerical construction of periodic motions of a satellite in the vicinity of regular precessions.
In the future, the scientific interests of E. V. Ikhsanov become more versatile. Together with Moscow scientists A. G. Sokolsky, V. V. Kuznetsov, A.V. Prikhodko, and others. he participated in the work on the scientific project “SIGMA” with the support of the grant of the Russian Foundation for Basic Research (RFBR) No. 02-03-32883(N. ruk, prof. A. G. Sokolsky) on the topic “Nonlinear dynamic models in plasma chemistry problems”, the purpose of which was theoretical and experimental studies of the effects of low-temperature plasma on aqueous solutions in a plasma chemical reactor using a specific technology. The method of normal forms and the predictor-corrector method, previously used in analytical dynamics, were successfully used by him to solve problems of plasma chemistry.
A special place in the scientific activity of E. V. Ikhsanov is occupied by the study of the problem of the existence of stationary solutions and their stability of Hamiltonian systems of differential equations describing the dynamics of the motion of celestial bodies in models of theoretical cosmic dynamics.
In the new concept of celestial mechanics of the bounded many-body problem (n> 3), formulated by E.A. Grebenikov by analogy with the three-body problem, E. Ikhsanov has carried out fundamental research over the past twenty years and obtained major results that are of great theoretical and practical importance for cosmodynamic models of ten and nine bodies, possessing complete and incomplete symmetry with respect to gravitating masses.
E.V. Ikhsanov was the first in Kazakhstan and very effectively to apply in his research the Theory of conditionally periodic solutions of A.N. Kolmogorov, V.I. Arnold, Y. Moser (KAM-theory) of Hamiltonian systems of torus, which is currently the only tool for studying the Lyapunov stability of four-dimensional Hamiltonian systems with an analytic and periodic Hamiltonian. His doctoral dissertation “The problem of Lyapunov stability in new models of celestial mechanics” is also devoted to this problem. He formulated and proved Lyapunov stability theorems “in resonance cases”, which were not considered earlier for the restricted many-body problem.
The main content of the research carried out and the results obtained:
new models of celestial mechanics were built:
barycentric restricted 9-body problem with full symmetry; barycentric restricted 9-body problem with incomplete symmetry;
limited problem of 10 bodies with full symmetry;
limited problem of 10 bodies with incomplete symmetry;
systems of differential equations for the dynamics of passively gravitating masses in inertial and rotating Euclidean coordinate systems, as well as in phase Hamiltonian spaces, used in their quantitative and qualitative studies, are derived for the named dynamic models;
functional equations are derived that determine stationary solutions (equilibrium positions) of differential equations of bounded problems of 9 and 10 bodies, and analytical dependences of the coordinates of equilibrium positions on geometric (mutual distances) and dynamic (masses of gravitating bodies) parameters are found.
Graphic and iterative methods for determining the exact coordinates of equilibrium positions in phase non-inertial six-dimensional spaces, depending on the main dynamic and geometric parameters of the models, were developed on the basis of the System of Symbolic Computing “Mathematica”;
by computer algebra methods, resonance relations between the frequencies of linearized systems of differential equations in the vicinity of each stationary point are determined;
formulated and proved theorems on stability or instability in the linear approximation of bisectorial and radial and similar solutions, and the intervals of variation of the parameters, gravitating their linear stability or instability, were found;
Using the fundamental results of KAM theory, in particular, the Arnold-Moser theorem on the stability of equilibrium positions of Hamiltonian systems of the 4th order, theorems are formulated and proved on stability in the sense of Lyapunov for equilibrium positions that are stable in the linear approximation.
theorems on stability and instability in the sense of Lyapunov are proved for frequency resonances of the 3rd and 4th orders;
using methods of numerical integration, the domains of attraction of stable stationary points are investigated and their sizes in the local coordinate system are calculated.
As is known, to study the stability of dynamical systems that are described by Hamiltonian equations, the use of the classical methods of Poincaré, Lyapunov, and others is practically unimportant. Therefore, in the process of constructing the normal form of the Hamiltonian and studying the stability, the author used the currently effective KAM-theory method, which can be classified as a significant achievement in the study of problems in celestial mechanics.
It is also important to emphasize that the use of KAM theory and other local procedures in these studies is fully carried out using computer algebra methods.
Thanks to the use of the above-mentioned modern methods, the tasks set are investigated most fully and the results obtained allow us to comprehensively characterize the qualitative patterns of the considered models.
The volume of the completed research and its quality and significance correspond to the high level of scientific creativity.
In the research conducted over several years (more than 20 years), more than 25 statements (theorems) have been formulated and proved, which together can be regarded as obtaining a significant result in the considered complex problem of the study of dynamical systems of celestial mechanics.
The author’s participation in solid international scientific conferences with reports and publications in reputable publications in the country and abroad, confirm the high level of research.
The most difficult problem of stability of stationary solutions is the “problem of frequency resonances”, when the eigenvalues of the matrix of a linearized system are rationally commensurate. To overcome such cases, the models of celestial mechanics under consideration use a peculiar method of normalizing the Hamiltonians in the vicinity of equilibrium positions, developed by the scientist himself by analogy with the procedures proposed by J. R. R. Tolkien.Birkhoff and A. P. Markeev using the System of Symbolic Calculations “Mathematica”. Using this method, he was able to prove a number of important theorems on the Lyapunov stability of equilibrium positions in the presence of resonances of the 3rd and 4th orders. According to the opinions of authoritative scientists (Yu.A. Ryabov, A. P. Markeev, E. A. Grebenikov), these results are extremely important, because due to the excessive complexity and lack of a universal method, many researchers avoid considering resonant cases.
A fundamental qualitative result was obtained by the scientist for theoretical astrodynamics in the barycentric model of the bounded problem of nine bodies with incomplete symmetry, namely, it is proved that the properties of Lyapunov stability for this model are preserved with the appropriate choice of dynamic parameters, despite the fact that there is no central body in this configuration. For a similar dynamic model with full symmetry, there is always instability of the equilibrium positions. This fundamental qualitative result obtained can undoubtedly be called an outstanding result, since it can be used to study the stability of flat star clusters with complex topology.
Practical value of the performed scientific research
The practical value of the performed scientific research is quite high and lies in their possible application in the analysis of the dynamic evolution of flat and globular star clusters over large cosmogonomic time intervals. Since there is a small mass distribution of the components in these cosmic structures, the proposed dynamic models can, in principle, be used as a first approximation to study the stability of these configurations. This is definitely supported by the very existence of such star clusters, possibly with a massive black hole that determines the movement of stars in a limited part of outer space.
Scientific works. International recognition and the publication
The results of many years of creative activity of the scientist are reflected in 82 scientific works, including 3 monographs.
Reports and publications on the conducted research were made at international scientific forums and publications:
-repeatedly at the joint seminar of the Departments of Mathematical Methods of Nonlinear Analysis and Reliability Theory of the Dorodnitsyn Computing Center of the Russian Academy of Sciences;
– 5th International Congress on Mathematical Modeling, Dubna, 2002;
– International Mathematical Conference “Erugin Readings”, Brest, Belarus, 2002;
– V International Congress on Mathematical Modeling. Collection of abstracts. Dubna, 2002, pp. 19-20.
-City Scientific Seminar on Celestial Mechanics at the Moscow State University Traffic Police, Moscow, 2002;
– International Conference CASC-2003, Passau, Germany, 2003 –
– International Conference CASC-2004, St. Petersburg, 2004.;
– Proceedings of the Seventh International Workshop on Computer Algebra in Scientific Computing, St. Peterburg, Russia, 2004, С. 224-231.
– Computer Algebra in Scientific Computing. 9th International Workshop, CASC 2006 Chişinău, Moldova, September 11-15, 2006 Proceedings.
– Computer Algebra Systems in Teaching and Research. 4 th International Worksop, CASTR 2007 Siedice, Poland, January 31 – February 3, 2007 Proceedings. Wydawnictwo Akademii Podlaskiej Siedlce 2007.
– Computer Algebra Systems in Teaching and Research. Evolution, control and stability of dynamical systems. Poland, Wydawnictwo WSFIZ, Siedlce, 2009. P. 51-58.
– Computer Algebra Systems in Teaching and Research. Evolution, control and stability of dynamical systems. – Poland, Wydawnictwo WSFIZ, Siedlce, 2009. – P. 51-58.
– Computer Algebra Systems in Teaching and Research. Differential equations, dynamical systems and celestial mechanics. . – Poland, Siedlce, 2011. – P. 160-165.
–International Symposium on Classical and Celestial Mechanics, Velikiye Luki, 2014;
– International Conference “Differential Equations and Their Applications”, dedicated to Academician I. G. Petrovsky, Moscow, 2014;
– International Conference on Mathematics and Computer Science, Chisinau, 2015.;
– Bulletin d’ eurotalent-fidjip, №2, 2015.
– International Seminar on Computer Algebra, organized by the LIT JINR (Dubna), the University of Weingarten (Germany) and the Moscow State University.Lomonosov (Moscow), Dubna (Russia)., 2016.
– East European Scientific Journal Wschodnioeuropejskie Czasopismo Naukowe, №3 (19), 2017, с.81-85.
International cooperation. Research projects
In the period 2002-2004, together with Moscow scientists A. G. Sokolsky, V. V. Kuznetsov, A.V. Prikhodko, and others, he participated in the scientific project “SIGMA” with the support of the grant of the Russian Foundation for Basic Research (RFBR) No. 02-03-32883 (N. ruk, prof.A. G. Sokolsky) on the topic “Nonlinear dynamic models in plasma chemistry problems”, the purpose of which was theoretical and experimental studies of the effects of low-temperature plasma on aqueous solutions in a plasma chemical reactor using a specific technology. The method of normal forms and the predictor-corrector method, previously used in analytical dynamics, were successfully used by him to solve problems of plasma chemistry.
2010-2013 Professor Ikhsanov E. V. participated in the implementation of the international scientific project “Analytical and qualitative studies of the Newtonian problem of many bodies” together with the Department of Methods of Nonlinear Analysis and Safety of the A. A. Dorodnitsyn High School of the Russian Academy of Sciences (Doctor of Ph. D., Professor E. A. Grebenikov).
Professor E. V. Ikhsanov made a great contribution to the development of the Association of Universities of the Caspian Countries, the collective member of which is the Atyrau Engineering and Humanitarian Institute headed by Professor E. V. Ikhsanov. Within the framework of the VII (2002), X (2005) and XXI(2018) General Assemblies of the Association of Universities of the Caspian Countries held in Atyrau by Professor E. V. Ikhsanov, International scientific seminars and round tables on the economic and environmental problems of the Caspian region were organized, which were attended by scientists from Kazakhstan, Russia, Azerbaijan, and Iran.
Professor E. V. Ikhsanov has prepared 1 Doctor of Physical and Mathematical Sciences and 17 masters.
Ikhsanov E. V. actively participates in the public life of the Atyrau region and makes a feasible contribution to the socio-economic development of the region. He was elected a deputy of the 4th convocation of the city and the 5th, 6th convocations of the regional maslikhats, and is an honorary citizen of the Atyrau region.
Ikhsanov, V. E., for his fruitful work in the development of higher education and training awarded diplomas of the Ministry of education (1993, 1998), and badges “Honorary worker of education of Kazakhstan” (2005), “For merits in development of science of Kazakhstan” (2010). In 2007 for outstanding contribution to science was awarded a medal. Socrates, Oxford University.
Letters of Gratitude of the President of the Republic of Kazakhstan N. A. Nazarbayev, 2011, 2015.
Medals “Astana” 2018, “20 years of Maslikhats of Kazakhstan” 2014, “25 years of maslikhats of Atyrau region “2019,” Honorary Citizen of Atyrau region ” 2020.
In 2010. By the decree of the President of the Republic of Kazakhstan, he was awarded the honorary title “Honored Worker of Kazakhstan”.