Unimodularity and Preservation of Volumes in Nonholonomic Mechanics

Author:

Fedorov Yuri N.,García-Naranjo Luis C.,Marrero Juan C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Reference43 articles.

1. Abraham, R., Marsden, J.E.: Foundations of Mechanics, 2nd edn. Benjamin/Cummings, Reading (1978)

2. Arnold, V.I., Kozlov, V.V., Nishtadt, A.I.: Mathematical aspects of classical and celestial mechanics. Itogi Nauki i Tekhniki. Sovr. Probl. Mat. Fundamentalnye Napravleniya, vol. 3. VINITI, Moscow (1985). English transl.: Encyclopadia of Math. Sciences, vol. 3. Springer, Berlin (1989)

3. Bloch, A.M., Krishnapasad, P.S., Marsden, J.E., Murray, R.M.: Nonholonomic mechanical systems with symmetry. Arch. Ration. Mech. Anal. 136, 21–99 (1996)

4. Borisov, A.V., Mamaev, I.S.: The rolling motion of a rigid body on a plane and a sphere Hierarchy of dynamics. Regul. Chaotic Dyn. 7(2), 177–200 (2002)

5. Borisov, A.V., Mamaev, I.S., Kilin, A.A.: Rolling of a ball on a surface. New integrals and hierarchy of dynamics. Regul. Chaotic Dyn. 7(2), 201–218 (2002)

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