Kozlov studied from 1967 at the Moscow State University with his undergraduate degree in 1972 and his Candidate of Sciences degree in 1974 under Andrei Kolmogorov with thesis Качественное исследование движения тяжёлого твёрдого тела в интегрируемых случаях (Qualitative study of the motion of a heavy rigid body in integrable cases).[1] At Moscow State University he was a lecturer and assistant and completed in 1978 his Russian Doctor of Sciences degree (habilitation) in 1978 with thesis Вопросы качественного анализа в динамике твёрдого тела (Questions of qualitative analysis in the dynamics of a rigid body). At Moscow State University he became in 1983 a professor of theoretical mechanics and in 2002 the head of the Department of Mathematical Statistics and Random Processes. At the Steklov Institute of Mathematics he became in 2003 head of the mechanics department and in 2004 the Institute's deputy director.[2]
From 1980 to 1987 he was Moscow State University's deputy dean for science and research of the Faculty of Mathematics and Mechanics. From 1997 to 2001 he was Deputy Minister of Education of the Russian Federation.[2]
Kozlov's research deals with theoretical and statistical mechanics and related mathematical areas such as the qualitative theory of differential equations and topological considerations in the integrability of dynamic systems. In 1979 he proved that for 2-dimensional manifolds with genus greater than 1 (i.e. excluding topological spheres and tori) the geodetic flow (and general solutions of Hamilton's equations on the associated tangential bundle of ) has no real-analytic first integrals other than energy.
He was elected in 1997 a corresponding member and in 2000 a full member of the Russian Academy of Sciences. He became the Academy's vice-president in 2001 and was its acting president for a few months in 2017 (upon the resignation of Vladimir Fortov). Kozlov is also a member of the Serbian Academy of Sciences and Arts and the European Academy of Arts and Sciences.[2]
Kozlov was the founder and editor-in-chief of the journal Regular and Chaotic Dynamics.
Topological obstructions to the integrability of natural mechanical systems, Doklady Akad. Nauka SSSR, vol. 249, 1979, pp. 1299–1302 (English translation, Sov. Math. Doklady, vol. 20, 1979, pp. 1413–1415)
Integrability and non-integrability in Hamiltonian mechanics, Russian Mathematical Surveys, vol. 38, 1983, pp. 1–76 doi:10.1070/RM1983v038n01ABEH003330
Calculus of variations in the large and classical mechanics, Russian Mathematical Surveys, vol. 40, 1985, issue 2 doi:10.1070/RM1985V040N02ABEH003557
with Alexander Harin: Kepler's problem in constant curvature spaces, Celestial Mechanics and Dynamical Astronomy, vol. 54, 1992, pp. 393–399 doi:10.1007/BF00049149
Booksedit
Kozlov, Valeriĭ V.; Treshchëv, Dmitriĭ V. (5 August 1991). Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts: A Genetic Introduction to the Dynamics of Systems with Impacts. ISBN9780821845509.
Kozlov, Valeriĭ V., ed. (1995). Dynamical Systems in Classical Mechanics. Translations of the American Mathematical Society, Series 2. Vol. 168. American Mathematical Soc. ISBN978-0-8218-0427-8.
Fedorov, Yuri N., and Valery V. Kozlov. "Various aspects of n-dimensional rigid body dynamics." (1995): 141-172. (book chapter in Dynamical Systems in Classical Mechanics)
Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I. (5 July 2007). Mathematical Aspects of Classical and Celestial Mechanics: Dynamical Systems III. Encyclopaedia of Mathematical Sciences. Vol. 3 (3rd ed.). ISBN978-3-540-48926-9.[4]
Kozlov, Valerij V. (6 December 2012). Symmetries, Topology and Resonances in Hamiltonian Mechanics. ISBN978-3-642-78393-7.
Kozlov, Valery V.; Furta, Stanislav D. (13 January 2013). Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations. Springer Science & Business Media. ISBN978-3-642-33817-5.
^ abcd"Kozlov Valery Vasilevich". Institute of Computer Science.
^"Premio Gili Agostinelli". Accademia delle Scienze Torino.
^Satzer, William J. (January 23, 2007). "Review of Mathematical Aspects of Classical Celestial Mechanics: Dynamical Systems III, 3rd edition by Vladimir I. Arnold, Valery V. Kozlov, and Anatoly I. Neishtadt". MAA Reviews, Mathematical Association of America.
External linksedit
Media related to Valery Vasilevich Kozlov at Wikimedia Commons
mathnet.ru
April 11, 2024
valery, vasilevich, kozlov, Валерий, Васильевич, Козлов, born, january, 1950, ryazan, oblast, russian, mathematician, mathematical, physicist, valery, koslov, contents, education, career, selected, publications, articles, books, references, external, linkseduc. Valery Vasilevich Kozlov Valerij Vasilevich Kozlov born 1 January 1950 in Ryazan Oblast is a Russian mathematician and mathematical physicist Valery Koslov Contents 1 Education and career 2 Selected publications 2 1 Articles 2 2 Books 3 References 4 External linksEducation and career editKozlov studied from 1967 at the Moscow State University with his undergraduate degree in 1972 and his Candidate of Sciences degree in 1974 under Andrei Kolmogorov with thesis Kachestvennoe issledovanie dvizheniya tyazhyologo tvyordogo tela v integriruemyh sluchayah Qualitative study of the motion of a heavy rigid body in integrable cases 1 At Moscow State University he was a lecturer and assistant and completed in 1978 his Russian Doctor of Sciences degree habilitation in 1978 with thesis Voprosy kachestvennogo analiza v dinamike tvyordogo tela Questions of qualitative analysis in the dynamics of a rigid body At Moscow State University he became in 1983 a professor of theoretical mechanics and in 2002 the head of the Department of Mathematical Statistics and Random Processes At the Steklov Institute of Mathematics he became in 2003 head of the mechanics department and in 2004 the Institute s deputy director 2 From 1980 to 1987 he was Moscow State University s deputy dean for science and research of the Faculty of Mathematics and Mechanics From 1997 to 2001 he was Deputy Minister of Education of the Russian Federation 2 Kozlov s research deals with theoretical and statistical mechanics and related mathematical areas such as the qualitative theory of differential equations and topological considerations in the integrability of dynamic systems In 1979 he proved that for 2 dimensional manifolds M displaystyle M nbsp with genus greater than 1 i e excluding topological spheres and tori the geodetic flow and general solutions of Hamilton s equations on the associated tangential bundle of M displaystyle M nbsp has no real analytic first integrals other than energy He was elected in 1997 a corresponding member and in 2000 a full member of the Russian Academy of Sciences He became the Academy s vice president in 2001 and was its acting president for a few months in 2017 upon the resignation of Vladimir Fortov Kozlov is also a member of the Serbian Academy of Sciences and Arts and the European Academy of Arts and Sciences 2 Kozlov was the founder and editor in chief of the journal Regular and Chaotic Dynamics In 2007 he received the Leonhard Euler Gold Medal of the Russian Academy of Sciences and in 2018 its Demidov Prize in 2009 the Gili Agostinelli Prize of the Turin Academy of Sciences 3 in 2000 the Kovalevskaya Prize of the Russian Academy of Sciences Sciences and in 1988 its Chaplygin Prize ru and in 1994 the State Prize of the Russian Federation 2 Selected publications editArticles edit Topological obstructions to the integrability of natural mechanical systems Doklady Akad Nauka SSSR vol 249 1979 pp 1299 1302 English translation Sov Math Doklady vol 20 1979 pp 1413 1415 Integrability and non integrability in Hamiltonian mechanics Russian Mathematical Surveys vol 38 1983 pp 1 76 doi 10 1070 RM1983v038n01ABEH003330 Calculus of variations in the large and classical mechanics Russian Mathematical Surveys vol 40 1985 issue 2 doi 10 1070 RM1985V040N02ABEH003557 with Alexander Harin Kepler s problem in constant curvature spaces Celestial Mechanics and Dynamical Astronomy vol 54 1992 pp 393 399 doi 10 1007 BF00049149Books edit Kozlov Valeriĭ V Treshchev Dmitriĭ V 5 August 1991 Billiards A Genetic Introduction to the Dynamics of Systems with Impacts A Genetic Introduction to the Dynamics of Systems with Impacts ISBN 9780821845509 Kozlov Valeriĭ V ed 1995 Dynamical Systems in Classical Mechanics Translations of the American Mathematical Society Series 2 Vol 168 American Mathematical Soc ISBN 978 0 8218 0427 8 Fedorov Yuri N and Valery V Kozlov Various aspects of n dimensional rigid body dynamics 1995 141 172 book chapter in Dynamical Systems in Classical Mechanics Arnold Vladimir I Kozlov Valery V Neishtadt Anatoly I 5 July 2007 Mathematical Aspects of Classical and Celestial Mechanics Dynamical Systems III Encyclopaedia of Mathematical Sciences Vol 3 3rd ed ISBN 978 3 540 48926 9 4 Kozlov Valerij V 6 December 2012 Symmetries Topology and Resonances in Hamiltonian Mechanics ISBN 978 3 642 78393 7 Kozlov Valery V Furta Stanislav D 13 January 2013 Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations Springer Science amp Business Media ISBN 978 3 642 33817 5 References edit Valerii Vasil evich Kozlov at the Mathematics Genealogy Project a b c d Kozlov Valery Vasilevich Institute of Computer Science Premio Gili Agostinelli Accademia delle Scienze Torino Satzer William J January 23 2007 Review of Mathematical Aspects of Classical Celestial Mechanics Dynamical Systems III 3rd edition by Vladimir I Arnold Valery V Kozlov and Anatoly I Neishtadt MAA Reviews Mathematical Association of America External links edit nbsp Media related to Valery Vasilevich Kozlov at Wikimedia Commons mathnet ru Retrieved from https en wikipedia org w index php title Valery Vasilevich Kozlov amp oldid 1133235029, wikipedia, wiki, book, books, library,
