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EPL (Europhysics Letters), 2017, Volume 119, Issue 6, 60008, 7 pp.
DOI: https://doi.org/10.1209/0295-5075/119/60008
(Mi epl2)
 

This article is cited in 20 scientific papers (total in 20 papers)

Chaplygin sleigh with periodically oscillating internal mass

Ivan A. Bizyaevab, Alexey V. Borisovab, Sergey P. Kuznetsovac

a Udmurt State University - ul. Universitetskaya 1, Izhevsk, 426034, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences - ul. Gubkina 8, Moscow, 119991 Russia
c Kotelnikov's Institute of Radio-Engineering and Electronics, Russian Academy of Sciences, Saratov Branch - ul. Zelenaya 38, Saratov, 410019, Russia
Citations (20)
Funding agency Grant number
Russian Science Foundation 14-50-00005
15-12-20035
The authors acknowledge support from Russian Science Foundation by Grant No. 14-50-00005 in the part of the problem (IAB, AVB) and by Grant No. 15-12-20035 in the part of analytical and numerical studies (SPK).
Received: 20.10.2017
Accepted: 17.11.2017
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/epl2
  • This publication is cited in the following 20 articles:
    1. E A Mikishanina, “Two problems of movement of multi-link wheeled vehicles”, J. Phys.: Conf. Ser., 2094:2 (2021), 022063  crossref
    2. Ivan Bizyaev, Sergey Bolotin, Ivan Mamaev, “Normal forms and averaging in an acceleration problem in nonholonomic mechanics”, Chaos, 31:1 (2021), 13132–28  mathnet  crossref  isi  scopus
    3. Ivan A Bizyaev, Ivan S Mamaev, “Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors”, J. Phys. A: Math. Theor., 53:18 (2020), 185701  crossref
    4. Nicola Sansonetto, Marta Zoppello, “On the Trajectory Generation of the Hydrodynamic Chaplygin Sleigh”, IEEE Control Syst. Lett., 4:4 (2020), 922  crossref
    5. Alexey V. Borisov, Evgeniya A. Mikishanina, “Two Nonholonomic Chaotic Systems. Part I. On the Suslov Problem”, Regul. Chaotic Dyn., 25:3 (2020), 313–322  mathnet  crossref  isi  scopus
    6. Brian A Free, Jinseong Lee, Derek A Paley, “Bioinspired pursuit with a swimming robot using feedback control of an internal rotor”, Bioinspir. Biomim., 15:3 (2020), 035005  crossref
    7. Ivan S. Mamaev, Evgeny V. Vetchanin, 2020 International Conference Nonlinearity, Information and Robotics (NIR), 2020, 1  crossref
    8. Elizaveta M. Artemova, Yury L. Karavaev, Ivan S. Mamaev, Evgeny V. Vetchanin, “Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass”, Regul. Chaotic Dyn., 25:6 (2020), 689–706  mathnet  crossref  isi  scopus
    9. Sergey P. Kuznetsov, Vyacheslav P. Kruglov, Alexey V. Borisov, “Chaplygin sleigh in the quadratic potential field”, EPL, 132:2 (2020), 20008–1  mathnet  crossref  isi  scopus
    10. I. A. Bizyaev, A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Fermi-like acceleration and power-law energy growth in nonholonomic systems”, Nonlinearity, 32:9 (2019), 3209–3233  mathnet  crossref  isi  scopus
    11. Andrey A. Ardentov, Yury L. Karavaev, Kirill S. Yefremov, “Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization”, Regul. Chaotic Dyn., 24:3 (2019), 312–328  mathnet  crossref  isi  scopus
    12. Jinseong Lee, Brian Free, Shyline Santana, Derek A. Paley, 2019 American Control Conference (ACC), 2019, 2011  crossref
    13. Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass”, Nonlinear Dyn, 95:1 (2019), 699  crossref
    14. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions”, Nonlinear Dyn, 98:3 (2019), 2277  crossref
    15. A. A. Kilin, E. N. Pivovarova, “Chaplygin Top with a Periodic Gyrostatic Moment”, Russ. J. Math. Phys., 25:4 (2018), 509  crossref
    16. Alexey V. Borisov, Ivan S. Mamaev, Eugeny V. Vetchanin, “Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation”, Regul. Chaotic Dyn., 23:4 (2018), 480–502  mathnet  crossref  isi  scopus
    17. Vitaliy Fedonyuk, Phanindra Tallapragada, “Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh”, Nonlinear Dyn, 93:2 (2018), 835  crossref
    18. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control”, Regul. Chaotic Dyn., 23:7 (2018), 983–994  mathnet  crossref  isi  scopus
    19. Alexey V. Borisov, Sergey P. Kuznetsov, “Comparing Dynamics Initiated by an Attached Oscillating Particle for the Nonholonomic Model of a Chaplygin Sleigh and for a Model with Strong Transverse and Weak Longitudinal Viscous Friction Applied at a Fixed Point on the Body”, Regul. Chaotic Dyn., 23:7 (2018), 803–820  mathnet  crossref  isi  scopus
    20. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration”, Regul. Chaotic Dyn., 22:8 (2017), 955–975  mathnet  crossref  isi  scopus
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