Dirac structures, nonholonomic systems and reduction

Abstract

The reduction of nonholonomic systems is formulated in terms of Dirac reduction. An optimal reduction method for a class of nonholonomic systems is formulated. Several examples are studied in detail.

39 pages

References in corpus (2)

• Reduction of Courant algebroids and generalized complex structures
• Reduction of Generalized Complex Structures

Cited by in corpus (4)

• LA-Courant algebroids and their applications
• Reduction of Almost Poisson brackets and Hamiltonization of the Chaplygin Sphere
• Invariant generators for generalized distributions
• $G$-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball