On topological obstructions to global stabilization of an inverted pendulum I Polekhin Systems & Control Letters 113, 31-35, 2018 | 19 | 2018 |
Forced oscillations of a massive point on a compact surface with a boundary I Polekhin Nonlinear Analysis 128, 100-105, 2015 | 17 | 2015 |
Examples of topological approach to the problem of inverted pendulum with moving pivot point IY Polekhin Russian Journal of Nonlinear Dynamics 10 (4), 465-472, 2014 | 16 | 2014 |
On forced oscillations in groups of interacting nonlinear systems I Polekhin Nonlinear Analysis: Theory, Methods & Applications 135, 120-128, 2016 | 15 | 2016 |
Примеры использования топологических методов в задаче о перевернутом маятнике на подвижном основании ИЮ Полехин Russian Journal of Nonlinear Dynamics 10 (4), 465-472, 2014 | 7 | 2014 |
Periodic and falling-free motion of an inverted spherical pendulum with a moving pivot point I Polekhin arXiv preprint arXiv:1411.1585, 2014 | 6 | 2014 |
The Method of Averaging for the Kapitza–Whitney Pendulum IY Polekhin Regular and Chaotic Dynamics 25 (4), 401-410, 2020 | 5 | 2020 |
On the covering of a Hill’s region by solutions in systems with gyroscopic forces V Kozlov, I Polekhin Nonlinear Analysis: Theory, Methods & Applications 148, 138-146, 2017 | 5 | 2017 |
On the covering of a Hill’s region by solutions in the restricted three-body problem V Kozlov, I Polekhin Celestial Mechanics and Dynamical Astronomy 127 (3), 331-341, 2017 | 4 | 2017 |
An inverted pendulum with a moving pivot point: examples of topological approach I Polekhin arXiv preprint arXiv:1407.4787, 2014 | 4 | 2014 |
The Spherical Kapitza-Whitney Pendulum I Polekhin arXiv preprint arXiv:2105.11980, 2021 | 3 | 2021 |
On the dynamics and integrability of the Ziegler pendulum IY Polekhin Nonlinear Dynamics, 1-12, 2024 | 2 | 2024 |
On the application of the Ważewski method to the problem of global stabilization I Polekhin Systems & Control Letters 153, 104953, 2021 | 2 | 2021 |
Some results on the existence of forced oscillations in mechanical systems IY Polekhin Proceedings of the Steklov Institute of Mathematics 310 (1), 250-261, 2020 | 2 | 2020 |
On the Impossibility of Global Stabilization of the Lagrange Top IY Polekhin Mechanics of Solids 53 (2), 71-75, 2018 | 2 | 2018 |
On impulsive isoenergetic control in systems with gyroscopic forces I Polekhin International Journal of Non-Linear Mechanics 100, 1-5, 2018 | 2 | 2018 |
Topological considerations and the method of averaging: a connection between local and global results I Polekhin 2020 International Conference Nonlinearity, Information and Robotics (NIR), 1-4, 2020 | 1 | 2020 |
Precession of the Kovalevskaya and Goryachev—Chaplygin Tops IY Polekhin Regular and Chaotic Dynamics 24 (3), 281-297, 2019 | 1 | 2019 |
On motions without falling of an inverted pendulum with dry friction I Polekhin arXiv preprint arXiv:1806.01075, 2018 | 1 | 2018 |
A Topological–Analytical Method for Proving Averaging Theorems on an Infinite Time Interval in a Degenerate Case IY Polekhin Proceedings of the Steklov Institute of Mathematics 322 (1), 188-197, 2023 | | 2023 |