ScholarLens Back to search
1995•Transactions of the Canadian Society for Mechanical EngineeringRequires access

GENERALIZED CANONICAL REALIZATION AND BIRKHOFF’S REALIZATION OF CHAPLYGIN’S NON HOLONOMIC SYSTEM

F. X. Mei, Benoît Lévesque

Open publisher page 0 citations

Abstract

The purpose of this paper is to realize the generalized canonical form and the Birkhoff’s form for the Chaplygin’s non holonomic system. This paper proves that the Chaplygin’s non holonomic systems can be represented by the canonical form and the generalized canonical form under some conditions, and they can always be represented by the Birkhoff’s form. Two examples are given to illustrate the application of the results.

About this research paper

What this paper is about

The purpose of this paper is to realize the generalized canonical form and the Birkhoff’s form for the Chaplygin’s non holonomic system. This paper proves that the Chaplygin’s non holonomic systems can be represented by the canonical form and the generalized canonical form under some conditions, and they can always be represented by the Birkhoff’s form. Two examples are given to illustrate the application of the results.

Why it matters

A significance statement is not available in the OpenAlex record.

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

The purpose of this paper is to realize the generalized canonical form and the Birkhoff’s form for the Chaplygin’s non holonomic system. This paper proves that the Chaplygin’s non holonomic systems can be represented by the canonical form and the generalized canonical form under some conditions, and they can always be represented by the Birkhoff’s form. Two examples are given to illustrate the application of the results.

Key concepts: Holonomic, Realization (probability), Canonical form, Holonomic constraints, Mathematics, Chaplygin gas, Non canonical, Computer science

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
GENERALIZED CANONICAL REALIZATION AND BIRKHOFF’S REALIZATION OF CHAPLYGIN’S NON HOLONOMIC SYSTEM — Research Paper | ScholarLens