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Polekhin, Ivan Yur'evich

Total publications: 22 (22)
in MathSciNet: 12 (12)
in zbMATH: 6 (6)
in Web of Science: 16 (16)
in Scopus: 19 (19)
Cited articles: 10
Citations in Math-Net.Ru: 8
Citations in MathSciNet: 10
Citations in Web of Science: 36
Citations in Scopus: 44
Presentations: 16

Number of views:
This page:2158
Abstract pages:850
Full texts:201
References:90
Polekhin, Ivan Yur'evich
Senior Researcher
Candidate of physico-mathematical sciences (2015)
Speciality: 01.02.01 (Theoretical mechanics)
E-mail:
Website: http://www.mi.ras.ru/~ivanpolekhin

http://www.mathnet.ru/eng/person106884
https://scholar.google.com/citations?user=QbcWTG0AAAAJ&hl=en
https://zbmath.org/authors/?q=ai:polekhin.ivan-yu
https://mathscinet.ams.org/mathscinet/MRAuthorID/992382
http://www.researcherid.com/rid/Q-3935-2016
https://www.scopus.com/authid/detail.url?authorId=56800980400
https://www.researchgate.net/profile/Ivan_Polekhin

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2021
1. Ivan Polekhin, “On the application of the Ważewski method to the problem of global stabilization”, Systems Control Lett., 153 (2021), 104953 (Published online) , 7 pp., arXiv: 1912.04027  mathnet  crossref  isi  scopus; (Published online)
2. Ivan Polekhin, The Spherical Kapitza-Whitney Pendulum, 2021 , arXiv: 2105.11980
3. 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  isi  scopus;

   2020
4. 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  crossref  isi
5. 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
6. Ivan Yu. Polekhin, “The Method of Averaging for the Kapitza – Whitney Pendulum”, Regul. Chaotic Dyn., 25:4 (2020), 401–410 , arXiv: 2006.03406  mathnet  crossref  mathscinet  isi  scopus (cited: 1);
7. 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
8. 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
9. Ivan Polekhin, Averaging method and asymptotic solutions in some mechanical problems, 2019 , 13 pp., arXiv: 1912.04626
10. 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
11. 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)
12. 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: 10)
13. 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  scopus
14. I. Yu. Polekhin, “On the Impossibility of Global Stabilization of the Lagrange Top”, Mechanics of Solids, 53:2 (2018), 71–75  mathnet  crossref  crossref  isi (cited: 2)  elib  scopus (cited: 2)

   2017
15. 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)
16. 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
17. 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)
18. 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
19. 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: 8)

   2015
20. 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: 8)  scopus (cited: 10)

   2014
21. 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
22. I. Yu. Polekhin, “O gamiltonovykh sistemakh s malymi neavtonomnymi vozmuscheniyami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2012, no. 1, 47–53  mathnet

Presentations in Math-Net.Ru
1. О применении топологического метода Важевского для исследования глобальной стабилизируемости
I. Yu. Polekhin

August 13, 2021 16:10
2. On the application of the Ważewski method to the problem of global stabilization
I. Yu. Polekhin
Beijing–Moscow Mathematics Colloquium
May 21, 2021 11:00
3. Averaging meets Topology
I. Yu. Polekhin
School for Young Mechanicians and Mathematicians “Mathematical Methods of Mechanics”
November 12, 2020 11:00   
4. On the non-integrability and dynamics of discrete models of threads
I. Yu. Polekhin
Steklov Mathematical Institute Seminar
September 17, 2020 16:00   
5. Isolating segments, dynamical convexity, control and periodic solutions in mechanical systems
I. Yu. Polekhin
International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday
January 20, 2020 17:35   
6. Топологические соображения в управляемых системах и системах, явно зависящих от времени
I. Yu. Polekhin
International School of Young Mechanics and Mathematicians "Modern nonlinear dynamics"
November 6, 2019 10:00   
7. Прецессия волчков Ковалевской и Горячева-Чаплыгина
I. Yu. Polekhin
IX Internet video conference "Day of Mathematics and Mechanics"
September 9, 2019 10:15   
8. On topological obstructions to global stabilization of an inverted pendulum
I. Yu. Polekhin
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2018
November 21, 2018 11:00   
9. A topological method for proving the impossibility of global stabilization of controlled systems
I. Yu. Polekhin
Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
November 19, 2018 10:20   
10. О качественной картине поведения решений в системах с гироскопическими силами
I. Yu. Polekhin
Geometric Theory of Optimal Control
February 14, 2018 18:30
11. О невозможности глобальной стабилизации перевернутого маятника с ударами и о близких задачах
I. Yu. Polekhin
Geometric Theory of Optimal Control
October 4, 2017 18:30
12. Forced oscillations and control of an inverted pendulum
I. Yu. Polekhin
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
May 31, 2017 16:00   
13. Классическая схема теории возмущений и резонансные множества некоторых задач динамики твердого тела
I. Yu. Polekhin
Hamiltonian systems and statistical mechanics
November 28, 2016
14. Некоторые задачи, связанные с движением перевернутого маятника на подвижном основании
I. Yu. Polekhin
Seminar of the Department of Mechanics
October 31, 2016 12:00
15. О заметании областей Хилла в системах с гироскопическими силами
I. Yu. Polekhin
Hamiltonian systems and statistical mechanics
March 21, 2016
16. Вынужденные колебания в системах материальных точек
I. Yu. Polekhin
Hamiltonian systems and statistical mechanics
October 12, 2015

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