ScholarLens Back to search
2002•Journal of Physics A Mathematical and GeneralOpen access

Non-holonomic Lagrangian and Hamiltonian mechanics: an intrinsic approach

Enrico Massa, Stefano Vignolo, Danilo Bruno

Open full text 22 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Holonomic, Lagrangian, Hamiltonian optics, Hamiltonian (control theory), Covariant Hamiltonian field theory, Hamiltonian mechanics, Holonomic constraints, Classical mechanics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Non-holonomic Lagrangian and Hamiltonian mechanics: an intrinsic approach — Research Paper | ScholarLens