Vakonomic versus nonholonomic mechanics revisited

Author:

Terra GláucioORCID

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Reference7 articles.

1. Arnold, V.I., Kozlov, V.V., Neishtadt, A.I.: Mathematical aspects of classical and celestial mechanics. In: Arnol’d, V.I. (ed.) Dynamical Systems III, vol. 3 of Encyclopaedia of Mathematical Sciences. Springer, New York, pp. 1–286 (1988)

2. Cardin, F., Favretti, M.: On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints. J. Geom. Phys. 18, 295–325 (1996)

3. Cortes, J., de Leon, D., de Diego, M., Martinez, S.: Geometric description of vakonomic and nonholonomic dynamics. Comparison of solutions. SIAM J. Control Optim. 41, 1389–1412 (2002)

4. Kupka, I., Oliva, W.M.: The non-holonomic mechanics. J. Differ. Equ. 169, 169–189 (2001)

5. Terra, G.: The parallel derivative. Mat. Contemp. 29, 157–170 (2005)

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