A geometrical approach to lagrangian and hamiltonian non-holonomic dynamics is proposed. The construction relies on a revisitation of the Poincaré-Cartan 1-form, leading to the introduction of the concepts of lagrangian and hamiltonian pairs and to the implementation of a non--holonomic Legendre map. The relationship with the standard "extrinsic" approach is outlined. A unified canonical framework, joining both lagrangian and hamiltonian aspects is proposed.
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Titolo: | Non-holonomic Lagrangian and Hamiltonian Mechanics: an intrinsic approach |
Autori: | |
Data di pubblicazione: | 2002 |
Rivista: | |
Abstract: | A geometrical approach to lagrangian and hamiltonian non-holonomic dynamics is proposed. The construction relies on a revisitation of the Poincaré-Cartan 1-form, leading to the introduction of the concepts of lagrangian and hamiltonian pairs and to the implementation of a non--holonomic Legendre map. The relationship with the standard "extrinsic" approach is outlined. A unified canonical framework, joining both lagrangian and hamiltonian aspects is proposed. |
Handle: | http://hdl.handle.net/11567/246322 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
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