A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics

作者：Maruskin Jared M; Bloch Anthony M^*; Marsden Jerrold E; Zenkov Dmitry V

来源：Journal of Nonlinear Science, 2012, 22(4): 431-461.

DOI：10.1007/s00332-012-9144-3

• Geometric mechanics
• Constrained dynamics
• Variational principles

The equations of nonholonomic mechanics may be derived using a number of variational principles. This paper studies some of these principles from the contemporary geometric point of view, taking into account various bundle structures that are intrinsically present in the nonholonomic setting.

• 出版日期2012-8