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Polekhin Ivan Yur'evich
(recent publications)
(recent publications)
| | | by years | | | scientific publications | | | by types | | |
 2022 |
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| 1. | Ivan Polekhin, “The Spherical Kapitza-Whitney Pendulum”, Regular & Chaotic Dynamics, 2022, no. 1 (to appear) , arXiv: 2105.11980 |
| 2. |
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),   |
| 3. |
Ivan Yu. Polekhin, “The Spherical Kapitza – Whitney Pendulum”, Regul. Chaotic Dyn., 27:1 (2022),   ; |
| 2021 |
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| 4. |
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 ; |
| 5. |
Valery Kozlov, Ivan Polekhin, “On the non-integrability and dynamics of discrete models of threads”, Nonlinearity, 34:9 (2021),  ; |
| 2020 |
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| 6. |
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, (cited: 1) |
| 7. |
Ivan Polekhin, “Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces”, Rus. J. Nonlin. Dyn., 16:2 (2020), |
| 8. |
Ivan Yu. Polekhin, “The Method of Averaging for the Kapitza – Whitney Pendulum”, Regul. Chaotic Dyn., 25:4 (2020), (cited: 1) (cited: 1) (cited: 2); |
| 9. |
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 |
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| 10. |
Ivan Yu. Polekhin, “Precession of the Kovalevskaya and Goryachev – Chaplygin Tops”, Regul. Chaotic Dyn., 24:3 (2019),  |
| 11. | Ivan Polekhin, Averaging method and asymptotic solutions in some mechanical problems, 2019 , 13 pp., arXiv: 1912.04626 |
| 12. |
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), ; |
| 2018 |
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| 13. |
Ivan Polekhin, “On impulsive isoenergetic control in systems with gyroscopic forces”, Int. J. Non-Linear Mech., 100 (2018), (cited: 2) (cited: 2) |
| 14. |
Ivan Polekhin, “On topological obstructions to global stabilization of an inverted pendulum”, Systems Control Lett., 113 (2018), (cited: 9) (cited: 11) |
| 15. |
I. Yu. Polekhin, “On motions without falling of an inverted pendulum with dry friction”, J. Geometric Mech., 10:4 (2018), (cited: 1) (cited: 1) |
| 16. |
I. Yu. Polekhin, “On the Impossibility of Global Stabilization of the Lagrange Top”, Mechanics of Solids, 53:2 (2018),  (cited: 2)  (cited: 2) |
| 2017 |
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| 17. |
Valery Kozlov, Ivan Polekhin, “On the covering of a Hill’s region by solutions in systems with gyroscopic forces”, Nonlinear Anal., 148 (2017), (cited: 4) (cited: 5) |
| 18. |
Ivan Yu. Polekhin, “Classical Perturbation Theory and Resonances in Some Rigid Body Systems”, Regul. Chaotic Dyn., 22:2 (2017), |
| 19. |
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), (cited: 3) (cited: 4) |
| 20. |
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, (cited: 2) (cited: 2) |
| 2016 |
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| 21. |
Ivan Polekhin, “On forced oscillations in groups of interacting nonlinear systems”, Nonlinear Anal., 135 (2016), (cited: 6) (cited: 8) |
| 2015 |
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| 22. |
Ivan Polekhin, “Forced oscillations of a massive point on a compact surface with a boundary”, Nonlinear Anal., 128 (2015), (cited: 9) (cited: 11) |
| 2014 |
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| 23. |
Ivan Yu. Polekhin, “Examples of topological approach to the problem of inverted pendulum with moving pivot point”, Nelin. Dinam., 10:4 (2014), |
| 2012 |
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| 24. |
I. Yu. Polekhin, “O gamiltonovykh sistemakh s malymi neavtonomnymi vozmuscheniyami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2012, no. 1, |
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