A. V. Borisov, I. S. Mamaev, “On the History of the Development of the Nonholonomic Dynamics”, Regul. Chaotic Dyn., 7:1 (2002), 43

Regular and Chaotic Dynamics

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ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

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Regular and Chaotic Dynamics, 2002, том 7, выпуск 1, страницы 43–47
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000194 (Mi rcd801)

Эта публикация цитируется в 28 научных статьях (всего в 28 статьях)

Nonholonomic Systems

On the History of the Development of the Nonholonomic Dynamics

A. V. Borisov^a, I. S. Mamaev^b

^a Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
^b Laboratory of Dynamical Chaos and Nonlinearity, Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia

Список цитирования (28)

DOI: https://doi.org/10.1070/RD2002v007n01ABEH000194

Аннотация: The main directions in the development of the nonholonomic dynamics are briefly considered in this paper. The first direction is connected with the general formalizm of the equations of dynamics that differs from the Lagrangian and Hamiltonian methods of the equations of motion's construction. The second direction, substantially more important for dynamics, includes investigations concerning the analysis of the specific nonholonomic problems. We also point out rather promising direction in development of nonholonomic systems that is connected with intensive use of the modern computer-aided methods.

Поступила в редакцию: 09.11.2001

Реферативные базы данных:

Тип публикации: Personalia

MSC: 70E18, 70E40

Язык публикации: английский

Образец цитирования: A. V. Borisov, I. S. Mamaev, “On the History of the Development of the Nonholonomic Dynamics”, Regul. Chaotic Dyn., 7:1 (2002), 43–47

Цитирование в формате AMSBIB

\RBibitem{BorMam02}

\by A. V. Borisov, I. S. Mamaev

\paper On the History of the Development of the Nonholonomic Dynamics

\jour Regul. Chaotic Dyn.

\yr 2002

\vol 7

\issue 1

\pages 43--47

\mathnet{http://mi.mathnet.ru/rcd801}

\crossref{https://doi.org/10.1070/RD2002v007n01ABEH000194}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1900053}

\zmath{https://zbmath.org/?q=an:1011.70002}

Образцы ссылок на эту страницу:

https://www.mathnet.ru/rus/rcd801

https://www.mathnet.ru/rus/rcd/v7/i1/p43

Эта публикация цитируется в следующих 28 статьяx:

A. A. Kilin, T. B. Ivanova, “The Integrable Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic Constraint”, Rus. J. Nonlin. Dyn., 19:1 (2023), 3–17
E. M. Artemova, A. A. Kilin, “A Nonholonomic Model and Complete Controllability of a Three-Link Wheeled Snake Robot”, Rus. J. Nonlin. Dyn., 18:4 (2022), 681–707
Kartik Loya, Phanindra Tallapragada, “Stabilization of an Inverted Pendulum on a Nonholonomic System”, IFAC-PapersOnLine, 55:37 (2022), 764
Colin Rodwell, Phanindra Tallapragada, “Induced and tunable multistability due to nonholonomic constraints”, Nonlinear Dyn, 108:3 (2022), 2115
Prashanth Chivkula, Colin Rodwell, Phanindra Tallapragada, “Curriculum-based reinforcement learning for path tracking in an underactuated nonholonomic system”, IFAC-PapersOnLine, 55:37 (2022), 339
de Leon M., Jimenez V.M., Lainz M., “Contact Hamiltonian and Lagrangian Systems With Nonholonomic Constraints”, J. Geom. Mech., 13:1, SI (2021), 25–53
Balseiro P. Yapu L.P., “Conserved Quantities and Hamiltonization of Nonholonomic Systems”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 38:1 (2021), 23–60
Fedonyuk V., Tallapragada Ph., “Locomotion of a Compliant Mechanism With Nonholonomic Constraints”, J. Mech. Robot., 12:5 (2020), 051006
Yi B., Ortega R., Zhang W., “Smooth, Time-Invariant Regulation of Nonholonomic Systems Via Energy Pumping-and-Damping”, Int. J. Robust Nonlinear Control, 30:16 (2020), 6399–6413
A V Doroshin, “Change of mechanical structures of spacecraft with variable quantity of degrees of freedom in purposes of reaction/momentum wheels unloading”, IOP Conf. Ser.: Mater. Sci. Eng., 984:1 (2020), 012006
Elizaveta M. Artemova, Alexander A. Kilin, 2020 International Conference Nonlinearity, Information and Robotics (NIR), 2020, 1
Pollard B., Fedonyuk V., Tallapragada Ph., “Swimming on Limit Cycles With Nonholonomic Constraints”, Nonlinear Dyn., 97:4 (2019), 2453–2468
Yi B., Ortega R., Zhang W., “Regulation of Nonholonomic Systems: a Smooth, Time-Invariant Approach”, IFAC PAPERSONLINE, 52:16 (2019), 150–155
Fedonyuk V., Tallapragada Ph., “Chaotic Dynamics of the Chaplygin Sleigh With a Passive Internal Rotor”, Nonlinear Dyn., 95:1 (2019), 309–320
Sergiy Koshkin, Vojin Jovanovic, “Realization of non-holonomic constraints and singular perturbation theory for plane dumbbells”, J Eng Math, 106:1 (2017), 123
А. В. Борисов, И. С. Мамаев, И. А. Бизяев, “Историко-критический обзор развития неголономной механики: классический период”, Нелинейная динам., 12:3 (2016), 385–411
Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period”, Regul. Chaotic Dyn., 21:4 (2016), 455–476
Anthony Bloch, Leonardo Colombo, Rohit Gupta, David Martín de Diego, Springer INdAM Series, 11, Analysis and Geometry in Control Theory and its Applications, 2015, 35
Alejandro Donaire, Jose Guadalupe Romero, Tristan Perez, Romeo Ortega, 2015 IEEE International Conference on Robotics and Automation (ICRA), 2015, 4385
Hernán Cendra, María Etchechoury, Sebastián J. Ferraro, “An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems”, Journal of Geometric Mechanics, 6:2 (2014), 167

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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