I. Yu. Polekhin, “Remarks on forced oscillations on manifolds”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024 (to appear)
2.
Ivan Yu. Polekhin, “On the dynamics and integrability of the Ziegler pendulum”, Nonlinear Dyn., 112 (2024), 6847–6858 , arXiv: 2209.03724;
Matematicheskie aspekty mekhaniki, Sbornik statei. K 60-letiyu akademika Dmitriya Valerevicha Trescheva i 70-letiyu chlena-korrespondenta RAN Sergeya Vladimirovicha Bolotina, Trudy MIAN, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Ilichev, A. P. Chugainova, I. Yu. Polekhin, MIAN, M., 2024
2023
4.
Ivan Yu. Polekhin, “A Topological–Analytical Method for Proving Averaging Theorems on an Infinite Time Interval in a Degenerate Case”, Proc. Steklov Inst. Math., 322 (2023), 188–197
5.
Ivan Yu. Polekhin, “A Note on Forced Oscillations in Systems on a Plane”, Rus. J. Nonlin. Dyn., 19:3 (2023), 383–388;
6.
Ivan Polekhin, “Asymptotically stable non-falling solutions of the Kapitza–Whitney pendulum”, Meccanica, 58 (2023), 1205–1215 , arXiv: 2205.12057;
2022
7.
I. Yu. Polekhin, “The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum”, Theoret. and Math. Phys., 211:2 (2022), 692–700
8.
Ivan Yu. Polekhin, “The Spherical Kapitza – Whitney Pendulum”, Regul. Chaotic Dyn., 27:1 (2022), 65–76;
Ivan Polekhin, “On the application of the Ważewski method to the problem of global stabilization”, Systems Control Lett., 153 (2021), 104953 , 7 pp., arXiv: 1912.04027;
Valery Kozlov, Ivan Polekhin, “On the non-integrability and dynamics of discrete models of threads”, Nonlinearity, 34:9 (2021), 6398–6416 , arXiv: 2009.09517;
2020
11.
I. Yu. Polekhin, “Nekotorye rezultaty o vynuzhdennykh kolebaniyakh v mekhanicheskikh sistemakh”, Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Valeriya Vasilevicha Kozlova, Tr. MIAN, 310, MIAN, M., 2020, 267–279https://arxiv.org/abs/1912.03987
Ivan Polekhin, “Topological considerations and the method of averaging: A connection between local and global results”, 2020 International Conference Nonlinearity, Information and Robotics, NIR 2020 (3 December 2020 - 6 December 2020), Institute of Electrical and Electronics Engineers Inc., 2020
2019
15.
Ivan Yu. Polekhin, “Precession of the Kovalevskaya and Goryachev – Chaplygin Tops”, Regul. Chaotic Dyn., 24:3 (2019), 281–297
Ivan Polekhin, Averaging method and asymptotic solutions in some mechanical problems, 2019 , 13 pp., arXiv: 1912.04626
17.
Ivan Polekhin, “Remarks on the Covering of the Possible Motion Area by Solutions in Rigid Body Systems”, Int. J. Nonlinear Sci. Numer. Simul., 20:3-4 (2019), 293–302;
2018
18.
Ivan Polekhin, “On impulsive isoenergetic control in systems with gyroscopic forces”, Int. J. Non-Linear Mech., 100 (2018), 1–5
I. Yu. Polekhin, “On the Impossibility of Global Stabilization of the Lagrange Top”, Mechanics of Solids, 53:2 (2018), 71–75
2017
22.
Valery Kozlov, Ivan Polekhin, “On the covering of a Hill’s region by solutions in systems with gyroscopic forces”, Nonlinear Anal., 148 (2017), 138–146
Ivan Yu. Polekhin, “Classical Perturbation Theory and Resonances in Some Rigid Body Systems”, Regul. Chaotic Dyn., 22:2 (2017), 136–147
24.
Valery Kozlov, Ivan Polekhin, “On the covering of a Hill's region by solutions in the restricted three-body problem”, Celest. Mech. Dyn. Astr., 127:3 (2017), 331–341
Ivan Polekhin, “A Topological View on Forced Oscillations and Control of an Inverted Pendulum”, Geometric Science of Information. GSI 2017, Lecture Notes in Comput. Sci., 10589, Springer, Cham, 2017, 329–335
Об интегрируемости маятника Циглера I. Yu. Polekhin International Conference "Mathematical Methods of Mechanics" dedicated to the anniversary of academician A. G. Kulikovskii March 23, 2023 16:20
Маятник Капицы-Уитни и некоторые смежные системы I. Yu. Polekhin Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 6, 2022 18:30
Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Il'ichev, A. P. Chugainova, I. Yu. Polekhin, 2024 http://mi.mathnet.ru/book2006
2024
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