I. Yu. Polekhin, “On one approach to proving the existence of forced oscillations”, Contemporary Mathematics and Its Applications: Proceedings of Sino-Russian Mathematical Meetings, Collected papers, Trudy Mat. Inst. Steklova, 330, Steklov Math. Inst., Moscow, 2025 (to appear)
2.
Ivan Polekhin, “First steps towards the averaging with respect to a part of the coordinates”, Theor. Appl. Mech., 52:1 (2025), 115–125
3.
Ivan Yu. Polekhin, “Metric Geometry and Forced Oscillations in Mechanical Systems”, Regul. Chaotic Dyn., 30:4 (2025), 732–741
4.
Sovremennaya matematika i ee prilozheniya: Rossiisko-kitaiskoe matematicheskoe sotrudnichestvo, Sbornik statei, Trudy MIAN, 330, ed. S. O. Gorchinskii, I. Yu. Polekhin, A. G. Sergeev, Kh. Fan, Sch. Chzhou, MIAN, M., 2025
2024
5.
I. Yu. Polekhin, “Remarks on Forced Oscillations on Manifolds”, Proc. Steklov Inst. Math., 327 (2024), 268–275
6.
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 , 338 pp.
2023
8.
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
9.
Ivan Yu. Polekhin, “A Note on Forced Oscillations in Systems on a Plane”, Rus. J. Nonlin. Dyn., 19:3 (2023), 383–388
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
12.
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
15.
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
Ivan Polekhin, Averaging method and asymptotic solutions in some mechanical problems, 2019 , 13 pp., arXiv: 1912.04626
21.
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
22.
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
26.
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
28.
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
Contemporary Mathematics and Its Applications: Proceedings of Sino–Russian Mathematical Meetings, Collected papers, Trudy Mat. Inst. Steklova, 330, ed. S. O. Gorchinskiy, I. Yu. Polekhin, A. G. Sergeev, H. Fan, X. Zhou, 2025 http://mi.mathnet.ru/book2088
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, 338 с. http://mi.mathnet.ru/book2006
2025
