This article is cited in 8 papers

The Non-holonomic Double Pendulum: an Example of Non-linear Non-holonomic System

Sergio Benenti

Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123 Torino, Italy

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.

Keywords: non-holonomic systems, dynamical systems.

MSC: 37J60, 70F25

Received: 18.01.2011
Accepted: 16.08.2011

Language: English

DOI: 10.1134/S1560354711050029

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