Magomet M. Shumafov

Dr. of Sci., Professor of the Adyghe State University (ASU),
Head of the Department of Mathematical Analysis and
Methods of Teaching Mathematics of the Faculty of
Mathematics and Computer Science of the ASU

Address: Faculty of Mathematics and Computer Science, Adyghe State University, 208 Pervomaiskaya str., Maykop, Republic of Adygea, 385000, Russian Federation.
Phone: +7 (8772) 59 39 05; +7 (8772) 59 37 32;
e-mail: magomet_shumaf@mail.ru

Professional Interests:

 Qualitative theory of differential equations, Dynamical systems, Control theory, Stability  theory

     Publications: author and co-author of more than 80 publications.

      Main Publications:

             Papers   

• Shumafov M.M. Construction  of Ljapunov functions for  some second-order nonlinear stochastic differential equations and  questions of  stability. Differentsial’nye Uravneniya (Engl. Differential Equations),Vol. 17, No 6, 1981, pp. 1143-1145.
• Shumafov M.M. Topological classification of singularities on a surface of discontinuity of the right-hand sides of a system of three differential equations. In book: Differential Equations and their Applications, Publisher: Moscow State University, Moscow, 1984, pp. 123-130. (In Russian)
• Shumafov M.M. Topological classification of singularities of systems of three differential equations with discontinuous right-hand sides. Bulletin of the Academy of Sciences of the Georgian SSR, Vol. 115,  No. 3, 1984, pp. 493-496. (In Russian)
• Shumafov M.M. Diffeomorphisms of  three-dimensional discontinuous systems. Vestn. Moskov. Gos. Univers. (Bulletin of Moscow State University), Ser. Mathematics and Mechanics, No. 3, 1984, pp. 85-88. (In Russian)
• Shumafov M.M. On the dissipativity of  random processes determined by some nonlinear second-order differential equations.  Differential Equations, Vol. 29:1, 1993, pp.149-151.
• Teshev V.A., Shepelyavy A.I., Shumafov M.M.  Frequency criterion of stabilization of systems with hysteresis nonlinearities by harmonic external action. In book: Nonlinear Dynamical Systems. Publisher: S.-Petersburg University, 1997, pp. 261-280. (In Russian)
• Shumafov M.M.  On the stochastic stability of a nonlinear system perturbed by a “white” noise random process. Trudy Phisicheskogo obshchestva Respubliki Adygea (Proceedings of Physical Society of Republic of Adygea), No. 4, 1999, pp. 118-124. (http://www.adygnet.ru/Isdat/WorkFora/default.htm).
• Shumafov M.M.  On the existence of homoclinic  orbit for generalized Lorenz system. Trudy Phisicheskogo obshchestva Respubliki Adygea (Proceedings of Physical Society of Republic of Adygea), No. 6, 2001, pp. 57-66. (In Russian) (http://www.adygnet.ru/Isdat/WorkFora/default.htm).
• Shumafov M.M.  On transient process in dynamical system with Watt’s regulator. Vestnik Sankt-Peterburgskogo Universiteta(Bulletin of Saint-Petersburg University), Ser. Math., Mech. & Astronomy.  No. 1, 2001, pp. 53-59.
• Shumafov M.M.  On asymptotic stability of a dynamical system with Watt governor. Differential  Equations,Vol. 39, No. 1, 2003, pp. 59-65.
• Leonov G.A., Shumafov M.M. Elementary proof of the theorem of stabilization for linear controllable systems. Vestnik Sankt-Peterburgskogo Universiteta (Bulletin of Saint-Petersburg University), No. 3, 2003, pp. 56-68.
• Leonov G.A., Shumafov M.M. An algorithm of stepwise stabilization of linear control object. Izvestiya vuzov. Severo-Kavkazskii Region (Bulletin of the North Caucasus Region Universities), No. 2, 2005, pp. 14-19.
• Leonov G.A., Shumafov М.М. Stabilization of Linear Systems. Proc. of Fourth Europ. Conference on Structural Control (4EСSC) Part 2, S.-Petersburg, 2008, 461-494.
• Shumafov М.М.  On dissipativity of solutions of the second order stochastic differential equations. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural- Mathematical and Technical Sciences, No. 1, 2008, pp. 11-17. (In Russian)
• Shumafov М.М. Stabilization of  two-dimensional linear discrete systems. Izvestiya vuzov. Severo-Kavkazskii Region (Bulletin of the North Caucasus Region Universities), No. 5, 2009, pp. 71-74.
• Shumafov М.М. Cej  R. M. Determination of  gas reservoir parameters on the basis of the solution of the inverse problem of the filtration theory. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of  Adyghe State University). Ser.  Natural- Mathematical and Technical Sciences, No. 1, 2009, pp. 33-42. (In Russian)
• Shumafov М.М. Cej  R. An algorithm of  numerical solution of  the inverse problem of the filtration theory by the method of modulating functions. Vestnik Adygeiskogo Gosudar. Universiteta (Bulletin of Adyghe State University). Ser.  Natural- Mathematical and Technical Sciences, No. 1, 2009, pp. 43-49. (In Russian)
• Shumafov М.М. On stabilization of  two-dimensional linear controllable systems by a delayed feedback. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural- Mathematical and Technical Sciences, No. 2, 2010,  pp. 40-52. (In Russian)
• Shumafov М.М.  On the stochastic stability of  some two-dimensional dynamical systems. Differential Equations,Vol. 46, No. 6, 2010, pp. 901-905.
• Shumafov М.М.  Stabilization of  second-order linear controllable systems by  delayed feedback. Russian Mathematics. Izvestiya VUZ. No. 12, 2010, 87-90.
• Leonov G.A.,  Shumafov М.М. Stabilization of Controllable Linear Systems. Nonlinear Dynamics and System Theory, Vol.10, No. 3, 2010, 235-268.
• Leonov G.A.,  Shumafov М.М. Vibrational Stabilization and the Brockett Problem. Differential Equations, Vol. 47, No. 13, 2011, 1853-1915.
• Shumafov М.М. On sufficient conditions of stabilizability  for  three-dimensional linear systems. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural- Mathematical and Technical Sciences, No. 3, 2012, pp. 57-62. (In Russian)
• Shumafov М.М. Stabilization of systems with hysteresis nonlinearities by harmonic external action. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural-Mathematical and Technical Sciences, No. 3, 2012, pp. 11-12. (In Russian)
• Shumafov М.М. Stability of systems of differential equations with hysteresis nonlinearities. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural-Mathematical and Technical Sciences, No. 3, 2012, pp. 20-31. (In Russian)
• Shumafov М.М. Stabilization of  the second-order linear controllable systems by a delayed feedback. Izvestiya vuzov. Severo-Kavkazskii Region (Bulletin of the North Caucasus Region Universities),  No. 4, 2014, pp. 9-11.
• Shaova S.M., Shumafov M.M. A necessary condition of stabilizability of unstable steady states of linear systems  by Pyragas’ delayed feedback. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural-Mathematical and Technical Sciences, No. 2, 2014, pp. 17-22. (In Russian)
• Shumafov М.М. Stabilization of unstable steady states of dynamical systems. (Parts 1-3.) Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural-Mathematical and Technical Sciences,  Part1, No. 4, 2015,  pp. 13-21;  Part 2, No. 2, 2016, pp. 11-33;  Part 3, No. 4, 2016, pp. 13-27.
• Leonov G.A.,  Shumafov М.М., Kuznetsov N.V. Delayed feedback stabilization and Huijberts-Michiels-Nijmeijer problem. Differential Equations, Vol.52, No.13, 2016, 1707-1731.
• Leonov G.A.,  Shumafov М.М., Teshev V.A., Aleksandrov K.D. Differential  Equations  with Hysteresis Operators:  Existence of Solutions,  Stability and Oscillations. Differential Equations, Vol. 53, No. 13, 2017, 1764-1813.
• Leonov G.A.,  Shumafov М.М., Teshev V.A., Aleksandrov K.D. Existence, uniqueness, stability and oscillations of solutions of differential equations with hysteresis nonlinearities. – A Survey. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural-Mathematical and Technical Sciences , No.1, 2018, 11-21.
• Leonov G.A.,  Shumafov М.М. Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback. Automation and Remote Control, Vol.79, No. 6, 2018, pp.1029-1039.
• Shumafov М.М. Stabilization of linear control systems and pole assignment problem: A Survey. Vestnik St. Petersburg University, Mathematics, Vol. 52, No. 4,2019,pp. 349-367.
• Shumafov М.М. Second order stochastic differential equations: stability, dissipativity, periodicity. – A Survey. Vestnik Adygeiskogo Gosudarstvenogo Universiteta (Bulletin of Adyghe State University). Ser.  Natural-Mathematical and Technical Sciences ,  Part 1, No. 4, 2019, pp. 11–26; Part 2, No.1, 2020, pp. 11-21.

            Books

• G.A. Leonov, M.M. Shumafov. Problems of Stabilization of Linear Controllable Systems. St. Petersburg: St. Petersburg University Press, 2002. 307 p. (In Russian)
• G.A. Leonov, M.M. Shumafov. Methods of Stabilization of Linear Controllable Systems. St. Petersburg: St. Petersburg University Press, 2005. 420 p. (In Russian)
• G.A. Leonov, M.M. Shumafov, V.A. Teshev. Stability of Systems with Hysteresis. Maykop: Adyghe State University Press, 2012. 182 p. (In Russian)
• G.A. Leonov, М.М. Shumafov. Stabilization of Linear Systems. Cambridge: Cambridge Scientific Publishers, 2012. 408 р.
• M.M. Shumafov. Stability and Stabilization of Dynamical Systems. Maykop: Adyghe State University Press, 2016. 275 p. (In Russian)

       Educational Textbooks (Tutorials)

• M.M. Shumafov. Introduction to Optimization: general statement of the question, classification and examples of the optimization problems.  Maykop: Adyghe State University Press, 2013. 99p. (In Russian)
• M.M. Shumafov. Elements of Optimal Control Theory: Pontryagin maximum principle and its applications. Maykop: Adyghe State University Press, 2013. 68p. (In Russian)

             Conference papers

• V.A., Teshev, A.I. Shepelyavy, M.M.  Shumafov, D.V. Ponomarenko.  Frequency Criterion for Synchronization of Hysteresis Systems. In book: First Scientific-Practical Conference "Differential Equations and their Applications". St. Petersburg, 1996, p. 177.
• M.M.  Shumafov. Frequency Criterion of Stability of Systems with Hysteresis Nonlinearities in Critical Case. In book:Proceedings of International Conference "Nonlocal Boundary-Value Problems and Contiguous Problems of Mathematical Biology, Informatics and Physics", Nalchik (Kabardino-Balkarian Republic, Russian Federation), 1996, 106-107.
• M.M.  Shumafov. On the Construction of Lyapunov Functions for Two-Dimensional Stochastic Systems. In book: Proceedings of 2nd International Conference "Differential Equations and their Applications". Saransk (Republic of Mordovia, Russian Federation), 1996, p. 127.
• V.A. Teshev, A.I. Shepelyavy, M.M. Shumafov, D.V. Ponomarenko. Stabilization of Systems with Hysteresis by Periodic External Force. In book: International Conference on  Control of Oscillations and Chaos, St. Petersburg, August 27-29, 1997.
• G.A. Leonov, М.М. Shumafov, V.A. Teshev. On global asymptotic stability of systems with hysteresis nonlinearities. In book: Proceedings of 3-rd International Conference  “Differential Equations and their Applications". Saransk (Republic of Mordovia, Russian Federation), 1998, 36-37.
• M.M. Shumafov. On the stochastic stability of two-dimentional nonlinear dynamical  system. In book: Proceedings of International Conference on Mechanics «Third Polyachov Readings». St. Petersburg, February 4-6, 2003, 81-82.
• M.M. Shumafov. On the stability of  two-dimensional  nonlinear differential systems perturbed by a «white» noise. In book: Proceedings of International Conference «Fourth Bogdanov Readings on Ordinary Differential  Equations», Minsk, December 7-10, 2005, 119-120.
• M.M. Shumafov, R.M. Cei. On the Problem of Determination of the Filtration-Capacitive Parameters of Gas Reservoir Stratum. In book:Proceedings of International Conference "Differential Equations and their Applications".Samara, 29 June – 2 July. Publisher "University group", 2009, 69-70.
• G.A. Leonov,  М.М. Shumafov, N.V. Kuznetsov, S.M. Seleji. Stabilization of unstable control system via delayed feedback. International Conference on Applied and Computational Mathematics, 2011, 18-25 [ISSN 1792-4235].
• М.М. Shumafov. On stabilization of  two-dimensional linear systems by  delayed feedback. In book: Proceedings of Fifth  International Conference "Functional-Differential Equations and their Applications", Machatshkala (Republic of Dagestan, Russian Federation), September 26-29, 2011, 234-240.
• G.A. Leonov, М.М. Shumafov. Delayed feedback stabilization of unstable equilibria. Preprints of the 19^th World Congress. The International Federation of Automatic Control, Cape Town, South Africa. August 24-29, 2014.
• N.N. Kuznetsov, G.A. Leonov, М.М. Shumafov. A short survey on Pyragas time-delay feedback stabilization and odd number limitation. 1st IFAC Conference on Modeling, Identification and Control of Nonlinear Systems, June 24-26, 2015, Saint-Petersburg, Russia.
• М.М. Shumafov. Stabilization of unstable steady states of dynamical systems. In book:  Proceedings of 1-st International Conference, dedicated to the memory  of Professor Kazbek Sagidovich Mamii, «Autumn Mathematical Readings in Adygea (AMRA-1)», Maykop, Republic of Adygea, Russian Federation, October 8-10, 2015, 235-240.
• М.М. Shumafov. On delayed feedback stabilization of unstable steady states of two-dimensional dynamical systems. In book: Proceedings of International Russian-Chinese Conference “Actual Problems of Applied Mathematics and Physics”, Elbrus, Kabardino-Balkarian Republic, Russian Federation,  December 14-18, 2015, 196-198.
• М.М. Shumafov, V.B. Tlyachev. On the construction of Lyapunov functions  for the second order linear stochastic systems and stability conditions.  Proceedings of International Conference «Actual Problems of Applied Mathematics and Automation», Terskol, Kabardino-Balkarian Republic, Russian Federation,  October 17-22, 2016, 351-354.
• G.A. Leonov, М.М. Shumafov., V.A. Teshev, K.D. Aleksandrov. Differential  Equations  with Hysteresis Operators. In book: Proceedings of 2-nd International Conference: «Autumn Mathematical Readings in Adygea (AMRA-2)», Maykop, Republic of Adygea, Russian Federation, October 20-24, 2017, 142-152.
• М.М. Shumafov. Stabilization of Linear Systems: Brockett’s and Pyragas’ Problems. In book: Proceedings of International Conference  “Dynamical Systems in Science and Technology (DSST)”, Alushta, Crimea, September 17-21, 2018, 104-106.
• М.М. Shumafov, V.B. Tlyachev. Criteria of stochastic stability of two-dimensional linear stationary systems interpreted in the sense of Stratonovich. In book: Proceedings of International Conference “Dynamical Systems in Science and Technology (DSST)”, Alushta, Crimea, September 17-21, 2018, p. 63.
• М.М. Shumafov, V.B. Tlyachev. On the stochastic stability of the second-order differential systems. In book: Proceedings ofInternational Conference "Nonlocal Boundary-Value Problems and Contiguous Problems of Mathematical Biology, Informatics and Physics" dedicated to the 80^th anniversary of the birth of Professor Adam Maremovich Nachushev. Nalchik (Kabardino-Balkarian Republic, Russian Federation), December 4-7, 2018, p. 243.
• М.М. Shumafov, V.B. Tlyachev. On the  stability of the second order stochastic  differential equations. In book: Caucasian Mathematics Conference (CMC-3). Book of Abstracts, Rostov-on-Don, Russia, August 26-29, 2019, p. 37.
• М.М. Shumafov, V.B. Tlyachev. On the stability of random processes defined by the second order differential equations. In book:  International work-shop «Equations of Convolution Type in Science and Technology (ECTST)» dedicated to the 90^th Anniversary  of the birth of Yuri Iosifovich Chersky. Crimea, Mischor, September 25-28, 2019, 6-8.
• М.М. Shumafov. Stability of the second-order systems of stochastic differential equations. In book: Proceedings of 3-rd International Conference: «Autumn Mathematical Readings in Adygea (AMRA-3)», Maykop, Republic of Adygea, Russian Federation, October 15-20, 2019, 103-107.

             Plenary reports

• М.М. Shumafov. Stabilization of unstable steady states of dynamical systems. 1-st International Conference dedicated to the memory of Professor Kazbek Sagidovich Mamii, «Autumn Mathematical Readings in Adygea (AMRA-1)», Maykop, Republic of Adygea, Russian Federation, October 8-10, 2015.
• G.A. Leonov, М.М. Shumafov., V.A. Teshev, K.D. Aleksandrov. Differential  Equations  with Hysteresis Operators. 2-nd International Conference «Autumn Mathematical Readings in Adygea (AMRA-2)», Maykop, Republic of Adygea, Russian Federation, October 20-24, 2017.
• М.М. Shumafov. Stabilization of Linear Systems: Brockett’s and Pyragas’ Problems.  International Conference “Dynamical Systems in Science and Technology (DSST)”, Alushta, Crimea, September 17-21, 2018.
• М.М. Shumafov. Stochastic differential equations: Stability, Dissipativity, Periodicity. 3-rd International Conference «Autumn Mathematical Readings in Adygea (AMRA-3)», Maykop, Republic of Adygea, Russian Federation, October 15-20, 2019.

               Ewards

• Honored worker of science of the Republic of Adygea, Russian Federation (2015)
• State Prize laureate in science of the Republic of Adygea for the monograph “Stability and Stabilization of Dynamical Systems”(In Russian, 2019)

               Editorial boards

• Bulletin of Adyghe State University (Natural-Mathematical and Technical Sciences)
• Proceedings of the Physical Society of Republic of Adygea (Trudy Phisicheskogo obshchestva Respubliki Adygea),
• Reviewer of the journal “Mathematical Reviewers” of the American Mathematical Sociality (AMS)

              Participation in Scientific Projects

• Fundamental research program of the Russian Academy Science (RAS) Presidium No. 19 “Control of mechanical systems” (project  1.4 Control     of Oscillations and Chaos in Physics-Engineering Systems) (Leader: Prof. G.A. Leonov, Russia)
• Grant from Russian Foundation of Basic Research (RFBR) (project No. 04-01-00-250A) (Leader: Prof. G.A. Leonov, Russia)
• Grant from Scientific Schools SS-2257.2003.1 of  the Program for support leader scientific schools of Ministry of Industry, Science and Technology of Russian Federation  (Leader: Prof. G.A. Leonov, Russia)
• Grant from Ministry of Education and Science of Russian Federation ( The Special Federal Programme “Scientific and scientific and educational staff  of innovative Russia for 2009-2013) (Leader: Prof. G.A. Leonov, Russia)
• Grant from Saint-Petersburg State University (Grant 6.38.505.2014) (Leader: Prof. G.A. Leonov, Russia)

              Conference organization

• 1-st International Conference dedicated to the memory of Professor Kazbek Sagidovich Mamii, «Autumn Mathematical Readings in Adygea (AMRA-1)», Maykop, Republic of Adygea, Russian Federation, October 8-10, 2015(Deputy Chairman of the Organized Committee, Scientific Advisory Committee).
• 2-nd International Conference «Autumn Mathematical Readings in Adygea (AMRA-2)», Maykop, Republic of Adygea, Russian Federation, October 20-24, 2017 (Organizing Committee member, Scientific Advisory Committee).
•  International Conference “Dynamical Systems in Science and Technology(DSST)”, Alushta, Crimea, September 17-21, 2018(Scientific Advisory Committee).
• International work-shop «Equations of Convolution Type in Science and Technology (ECTST)» dedicated to the 90^th Anniversary  of the birth of Yuri Iosifovich Chersky. Crimea, Mischor, September 25-28, 2019(Scientific Advisory Committee).
• 3-rd International Conference «Autumn Mathematical Readings in Adygea (AMRA-3)», Maykop, Republic of Adygea, Russian Federation, October 15-20, 2019 (Organizing Committee member, Scientific Advisory Committee).

              Teaching & Advising

• Differential Equations
• Methods of Optimization
• Introduction to the Theory of Stability and  Control Theory
• Mathematical Models of Typical Ecosystems
• Supervising  Bachelors, Masters and Postgraduate students.