Edit Profile (opens in new tab) Yumagulov, Marat Gayazovich Co-Author Distance Author ID: yumagulov.marat-gayazovich Published as: Yumagulov, M. G.; Yumagulov, Marat Gayazovich; Yumagulov, M.; Yumagulov, Marat G. more...less Documents Indexed: 60 Publications since 1982 Co-Authors: 30 Co-Authors with 47 Joint Publications 289 Co-Co-Authors all top 5 Co-Authors 12 single-authored 12 Ibragimova, Liliya Sunagatovna 9 Krasnosel’skiĭ, Mark Aleksandrovich 6 Kuznetsov, Nikolai Aleksandrovich 5 Belova, Anna Sergeevna 4 Fazlytdinov, Marat Flyurovich 4 Rachinskii, Dmitrii I. 3 Krasnosel’skiĭ, Aleksandr Markovich 3 Murtazina, Sariya Ashirafovna 3 Mustafina, Il’mira Zhavatovna 3 Nurov, Iskhokboĭ Dzhumaevich 2 Dement’eva, A. M. 2 Gusarova, Nadezhda Ivanovna 2 Imangulova, E. S. 2 Matveenko, N. I. 2 Mukhamadiev, Èrgashboĭ Mirzoevich 2 Yakshibaeva, D. A. 1 Abushahmina, G. R. 1 Akmanova, S. V. 1 Belikova, O. N. 1 Diamond, Fred 1 Fomenko, Igor V. 1 Gabdrahmanov, R. I. 1 Khachumov, V. M. 1 Khalikova, T. M. 1 Kopylova, N. A. 1 Mayergoyz, Isaak D. 1 Muzafarov, S. M. 1 Nurov, Iskhokboi J. 1 Sharafutdinov, I. V. 1 Vyshinsky, A. A. all top 5 Serials 21 Automation and Remote Control 8 Doklady Akademii Nauk Tadzhikskoĭ SSR 5 Lobachevskii Journal of Mathematics 5 Ufimskiĭ Matematicheskiĭ Zhurnal 4 Doklady Mathematics 3 Journal of Mathematical Sciences (New York) 2 Russian Mathematics 2 Russian Academy of Sciences. Doklady. Mathematics 2 Izvestiya. Rossiĭskaya Akademiya Estestvennykh Nauk. Matematika, Matematicheskoe Modelirovanie, Informatika i Upravlenie 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Advances in Mathematical Sciences and Applications 1 Doklady Akademii Nauk 1 Italian Journal of Pure and Applied Mathematics 1 Differential Equations 1 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya all top 5 Fields 40 Ordinary differential equations (34-XX) 19 Dynamical systems and ergodic theory (37-XX) 13 Operator theory (47-XX) 13 Systems theory; control (93-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 57 times in 32 Documents Cited by ▼ Year ▼ Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034 Diamond, P.; Rachinskii, D.; Yumagulov, M. 9 2000 An operator method for an approximate investigation of a regular bifurcation in multiparameter dynamical systems. (An operator method for approximate investigation of a regular bifurcation in multiparameter dynamical systems.) Zbl 1240.37066 Vyshinsky, A. A.; Ibragimova, L. S.; Murtazina, S. A.; Yumagulov, M. G. 5 2010 Parameter functionalization and its application to the problem of local bifurcations in dynamic systems. Zbl 1119.37035 Ibragimova, L. S.; Yumagulov, M. G. 5 2007 The parameter functionalization method in the eigenvalue problem. Zbl 0973.47014 Krasnosel’skij, M. A.; Yumagulov, M. G. 4 1999 An operator method for investigating the stability of cycles in Hopf bifurcation. Zbl 0923.34040 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 4 1996 Parameter functionability and asymptotic behavior of cycles in Hopf’s bifurcation. Zbl 0923.34039 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 4 1996 The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems. Zbl 1463.34237 Ibragimova, Liliya Sunagatovna; Mustafina, Il’mira Zhavatovna; Yumagulov, Marat Gayazovich 4 2016 Conditions of cycle stability for the Hopf bifurcation at infinity. Zbl 0920.34040 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 3 1997 Approximate research of problems on perturbation of periodic and autonomous Hamiltonian systems in critical cases. Zbl 1458.37064 Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. 3 2020 Operator methods for calculating Lyapunov values in problems on local bifurcations of dynamical systems. Zbl 1463.37031 Gusarova, Nadezhda Ivanovna; Murtazina, Sariya Ashirafovna; Fazlytdinov, Marat Flyurovich; Yumagulov, Marat Gayazovich 3 2018 Localization and construction of cycles in Hopf’s bifurcation at infinity. Zbl 0880.34038 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 2 1995 Methods for studying the stability of linear periodic systems depending on a small parameter. Zbl 1484.34060 Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. 2 2021 A study of the boundaries of stability regions in two-parameter dynamical systems. Zbl 1387.93140 Yumagulov, M. G.; Mustafina, I. Zh.; Ibragimova, L. S. 1 2017 Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications. Zbl 1391.34076 Yumagulov, M. G.; Ibragimova, L. S.; Imangulova, E. S. 1 2017 An operator method for studying regular bifurcations in multiparameter systems. Zbl 1262.47085 Yumagulov, M. G. 1 2009 The Andronov-Hopf bifurcation with weakly oscillating parameters. Zbl 1156.93023 Yumagulov, M. G.; Ibragimova, L. S.; Muzafarov, S. M.; Nurov, I. D. 1 2008 The investigation algorithm of stability of periodic oscillations in the problem for the Andronov-Hopf bifurcation. Zbl 1165.34347 Kuznetsov, N. A.; Yumagulov, M. G.; Sharafutdinov, I. V. 1 2008 Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems. Zbl 1502.70041 Yumagulov, Marat Gayazovich; Ibragimova, Liliya Sunagatovna; Belova, Anna Sergeevna 1 2021 Approximate formulas and algorithms for constructing central manifolds of dynamic systems. Zbl 1455.93115 Yumagulov, M. G.; Fazlytdinov, M. F. 1 2020 Bifurcation formulas and algorithms of constructing central manifolds of discrete dynamical systems. Zbl 1428.39021 Yumagulov, M. G.; Fazlytdinov, M. F. 1 2019 Bifurcations of periodic solutions near triangular libration points in the three-body problem. Zbl 1396.70013 Yumagulov, M. G.; Belikova, O. N. 1 2010 Methods for studying the stability of linear periodic systems depending on a small parameter. Zbl 1484.34060 Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. 2 2021 Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems. Zbl 1502.70041 Yumagulov, Marat Gayazovich; Ibragimova, Liliya Sunagatovna; Belova, Anna Sergeevna 1 2021 Approximate research of problems on perturbation of periodic and autonomous Hamiltonian systems in critical cases. Zbl 1458.37064 Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. 3 2020 Approximate formulas and algorithms for constructing central manifolds of dynamic systems. Zbl 1455.93115 Yumagulov, M. G.; Fazlytdinov, M. F. 1 2020 Bifurcation formulas and algorithms of constructing central manifolds of discrete dynamical systems. Zbl 1428.39021 Yumagulov, M. G.; Fazlytdinov, M. F. 1 2019 Operator methods for calculating Lyapunov values in problems on local bifurcations of dynamical systems. Zbl 1463.37031 Gusarova, Nadezhda Ivanovna; Murtazina, Sariya Ashirafovna; Fazlytdinov, Marat Flyurovich; Yumagulov, Marat Gayazovich 3 2018 A study of the boundaries of stability regions in two-parameter dynamical systems. Zbl 1387.93140 Yumagulov, M. G.; Mustafina, I. Zh.; Ibragimova, L. S. 1 2017 Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications. Zbl 1391.34076 Yumagulov, M. G.; Ibragimova, L. S.; Imangulova, E. S. 1 2017 The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems. Zbl 1463.34237 Ibragimova, Liliya Sunagatovna; Mustafina, Il’mira Zhavatovna; Yumagulov, Marat Gayazovich 4 2016 An operator method for an approximate investigation of a regular bifurcation in multiparameter dynamical systems. (An operator method for approximate investigation of a regular bifurcation in multiparameter dynamical systems.) Zbl 1240.37066 Vyshinsky, A. A.; Ibragimova, L. S.; Murtazina, S. A.; Yumagulov, M. G. 5 2010 Bifurcations of periodic solutions near triangular libration points in the three-body problem. Zbl 1396.70013 Yumagulov, M. G.; Belikova, O. N. 1 2010 An operator method for studying regular bifurcations in multiparameter systems. Zbl 1262.47085 Yumagulov, M. G. 1 2009 The Andronov-Hopf bifurcation with weakly oscillating parameters. Zbl 1156.93023 Yumagulov, M. G.; Ibragimova, L. S.; Muzafarov, S. M.; Nurov, I. D. 1 2008 The investigation algorithm of stability of periodic oscillations in the problem for the Andronov-Hopf bifurcation. Zbl 1165.34347 Kuznetsov, N. A.; Yumagulov, M. G.; Sharafutdinov, I. V. 1 2008 Parameter functionalization and its application to the problem of local bifurcations in dynamic systems. Zbl 1119.37035 Ibragimova, L. S.; Yumagulov, M. G. 5 2007 Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity. Zbl 0963.34034 Diamond, P.; Rachinskii, D.; Yumagulov, M. 9 2000 The parameter functionalization method in the eigenvalue problem. Zbl 0973.47014 Krasnosel’skij, M. A.; Yumagulov, M. G. 4 1999 Conditions of cycle stability for the Hopf bifurcation at infinity. Zbl 0920.34040 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 3 1997 An operator method for investigating the stability of cycles in Hopf bifurcation. Zbl 0923.34040 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 4 1996 Parameter functionability and asymptotic behavior of cycles in Hopf’s bifurcation. Zbl 0923.34039 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 4 1996 Localization and construction of cycles in Hopf’s bifurcation at infinity. Zbl 0880.34038 Krasnosel’skij, M. A.; Kuznetsov, N. A.; Yumagulov, M. G. 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 35 Authors 17 Yumagulov, Marat Gayazovich 8 Ibragimova, Liliya Sunagatovna 6 Belova, Anna Sergeevna 4 Fazlytdinov, Marat Flyurovich 4 Rachinskii, Dmitrii I. 2 Huan, Songmei 2 Imangulova, E. S. 2 Mustafina, Il’mira Zhavatovna 2 Yang, Xiaosong 1 Abushahmina, G. R. 1 Akmanova, S. V. 1 Alarcón, Begoña 1 Balanov, Zalman I. 1 Belikova, O. N. 1 de Berg, Mark Theodoor 1 Gabdrahmanov, R. I. 1 Gurevich, Pavel L. 1 Gusarova, Nadezhda Ivanovna 1 Katz, Matthew J. 1 Kopylova, N. A. 1 Krasnosel’skiĭ, Aleksandr Markovich 1 Krawcewicz, Wieslaw Z. 1 Küpper, Tassilo 1 Kuznetsov, Nikolai Aleksandrovich 1 Murtazina, Sariya Ashirafovna 1 Mustafina, I. G. 1 Overmars, Mark H. 1 Rabanal, Roland 1 Ruderman, Michael S. 1 Sharafutdinova, G. G. 1 van der Stappen, A. Frank 1 Vleugels, Jules 1 Yakshibaeva, D. A. 1 Zhezherun, A. A. 1 Zou, Yongkui all top 5 Cited in 14 Serials 7 Lobachevskii Journal of Mathematics 6 Automation and Remote Control 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Russian Mathematics 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Computational Geometry 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Differential Equations 1 Dynamical Systems all top 5 Cited in 11 Fields 19 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 6 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year