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Polekhin Ivan Yur'evich
(recent publications)
| by years | scientific publications | by types |



   2022
1. 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  mathnet  crossref  crossref  adsnasa  adsnasa  scopus
2. Ivan Yu. Polekhin, “The Spherical Kapitza – Whitney Pendulum”, Regul. Chaotic Dyn., 27:1 (2022), 65–76  mathnet  crossref  isi  scopus;
3. Ivan Polekhin, Asymptotically Stable Non-Falling Solutions of the Kapitza-Whitney Pendulum, 2022 , 11 pp., arXiv: 2205.12057
4. Ivan Polekhin, On the dynamics and integrability of the Ziegler pendulum, 2022 , 13 pp., arXiv: 2209.03724

   2021
5. 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  mathnet  crossref  isi  scopus;
6. Valery Kozlov, Ivan Polekhin, “On the non-integrability and dynamics of discrete models of threads”, Nonlinearity, 34:9 (2021), 6398–6416 , arXiv: 2009.09517  mathnet  crossref  mathscinet  isi  scopus;

   2020
7. 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, 267–279 https://arxiv.org/abs/1912.03987  mathnet (cited: 1)  crossref  mathscinet  isi
8. Ivan Polekhin, “Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces”, Rus. J. Nonlin. Dyn., 16:2 (2020), 343–353 , arXiv: 1912.04076  mathnet  crossref  mathscinet  scopus
9. Ivan Yu. Polekhin, “The Method of Averaging for the Kapitza – Whitney Pendulum”, Regul. Chaotic Dyn., 25:4 (2020), 401–410 , arXiv: 2006.03406  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus (cited: 2);
10. 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  crossref  scopus

   2019
11. Ivan Yu. Polekhin, “Precession of the Kovalevskaya and Goryachev – Chaplygin Tops”, Regul. Chaotic Dyn., 24:3 (2019), 281–297  mathnet  crossref  mathscinet  zmath  isi  scopus
12. Ivan Polekhin, Averaging method and asymptotic solutions in some mechanical problems, 2019 , 13 pp., arXiv: 1912.04626
13. 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  mathnet  crossref  mathscinet  zmath  isi  scopus;

   2018
14. Ivan Polekhin, “On impulsive isoenergetic control in systems with gyroscopic forces”, Int. J. Non-Linear Mech., 100 (2018), 1–5  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)
15. Ivan Polekhin, “On topological obstructions to global stabilization of an inverted pendulum”, Systems Control Lett., 113 (2018), 31–35  mathnet  crossref  mathscinet  isi (cited: 9)  scopus (cited: 11)
16. I. Yu. Polekhin, “On motions without falling of an inverted pendulum with dry friction”, J. Geometric Mech., 10:4 (2018), 411–417  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
17. I. Yu. Polekhin, “On the Impossibility of Global Stabilization of the Lagrange Top”, Mechanics of Solids, 53:2 (2018), 71–75  mathnet  crossref  crossref  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2017
18. 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  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 5)
19. Ivan Yu. Polekhin, “Classical Perturbation Theory and Resonances in Some Rigid Body Systems”, Regul. Chaotic Dyn., 22:2 (2017), 136–147  mathnet  crossref  mathscinet  isi  scopus
20. 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  mathnet  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 4)
21. 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  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)

   2016
22. Ivan Polekhin, “On forced oscillations in groups of interacting nonlinear systems”, Nonlinear Anal., 135 (2016), 120–128  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 9)

   2015
23. Ivan Polekhin, “Forced oscillations of a massive point on a compact surface with a boundary”, Nonlinear Anal., 128 (2015), 100–105  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 12)

   2014
24. Ivan Yu. Polekhin, “Examples of topological approach to the problem of inverted pendulum with moving pivot point”, Nelin. Dinam., 10:4 (2014), 465–472  mathnet  zmath  elib

   2012
25. I. Yu. Polekhin, “O gamiltonovykh sistemakh s malymi neavtonomnymi vozmuscheniyami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2012, no. 1, 47–53  mathnet


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