Abstract:
An example of physically realizable non-linear non-holonomic mechanical system is proposed. The dynamical equations are written following a general method proposed in an earlier paper. In order to make this paper self-contained, an improved and shortened approach to the dynamics of non-holonomic systems is illustrated in preliminary sections.
Citation:
Sergio Benenti, “The Non-holonomic Double Pendulum: an Example of Non-linear Non-holonomic System”, Regul. Chaotic Dyn., 16:5 (2011), 417–442
\Bibitem{Ben11}
\by Sergio Benenti
\paper The Non-holonomic Double Pendulum: an Example of Non-linear Non-holonomic System
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 5
\pages 417--442
\mathnet{http://mi.mathnet.ru/rcd445}
\crossref{https://doi.org/10.1134/S1560354711050029}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2844856}
\zmath{https://zbmath.org/?q=an:1309.37055}
Linking options:
https://www.mathnet.ru/eng/rcd445
https://www.mathnet.ru/eng/rcd/v16/i5/p417
This publication is cited in the following 7 articles:
Federico Talamucci, “On the Četaev Condition for Nonholonomic Systems”, AppliedMath, 5:1 (2025), 29
Federico Talamucci, “Nonlinear nonholonomic systems: a simple approach and various examples”, Meccanica, 59:3 (2024), 333
Federico Talamucci, “Motion of general nonholonomic systems from the d'Alembert principle via an algebraic method”, Acta Mech, 2024
Kotani K., Guo Zh., Namerikawa T., Qu Zh., “Cooperative Transport Control By a Multicopter System”, IET Contr. Theory Appl., 15:6 (2021), 861–876
Federico Talamucci, “Rheonomic Systems with Nonlinear Nonholonomic Constraints: The Voronec Equations”, Regul. Chaotic Dyn., 25:6 (2020), 662–673
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Hojman Construction and Hamiltonization of Nonholonomic Systems”, SIGMA, 12 (2016), 012, 19 pp.
Andrey V. Tsiganov, “On Integrable Perturbations of Some Nonholonomic Systems”, SIGMA, 11 (2015), 085, 19 pp.
Citation in format AMSBIB
Contact us: