Symmetry of Lagrangians of Nonholonomic Controllable Mechanical Systems

Xia, Lili; Jian-Le, Cai

doi:10.1088/0256-307x/27/8/080201

Chinese Phys. Lett.

2010

DOI: 10.1088/0256-307x/27/8/080201

|View full text |Cite

Symmetry of Lagrangians of Nonholonomic Controllable Mechanical Systems

Lili Xia

Cai Jian-Le

Abstract: Symmetry of Lagrangians of nonholonomic controllable mechanical systems is studied. The definition and criterion of the symmetry of the system are presented. Under the condition that there exists a conserved quantity, the form of the conserved quantity is provided. An example is presented to illustrate the application of the results.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2011

2012

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 14 publications

(7 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

Poisson Theory and Inverse Problem in a Controllable Mechanical System

Xia¹

2011

Chinese Phys. Lett.

View full text Add to dashboard Cite

The Poisson theory and inverse problem are studied in a controllable mechanical system. Equations of motion of the controllable mechanical system in phase space are given. Poisson's integral theory of the system is established. The potential force field is constructed by solving the inverse problem in a controllable mechanical system. Finally, an example is given to illustrate the application of the results.

show abstract

Poisson Theory and Inverse Problem in a Controllable Mechanical System

Xia¹

2011

Chinese Phys. Lett.

View full text Add to dashboard Cite

show abstract

Symmetry of the Lagrangians of holonomic nonconservative system in event space

Zhang¹,

Fang²

2012

Chinese Phys. B

View full text Add to dashboard Cite

show abstract

Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system

Zhang¹,

Fang²,

Zhang³

2012

Acta Phys. Sin.

View full text Add to dashboard Cite

In this paper are study the symmetry of Lagrangians and the conserved quantities for a nonholonomic variable mass system. Firstly, the criterion of the symmetry of Lagrangians for a nonholonomic variable mass system is given. Secondly, the conditions under which there exist a conserved quantity and the form of the conserved quantity, are obtained. Finally, an example is given to illustrate the application of the results.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Symmetry of Lagrangians of Nonholonomic Controllable Mechanical Systems

Cited by 3 publications

References 14 publications

Poisson Theory and Inverse Problem in a Controllable Mechanical System

Poisson Theory and Inverse Problem in a Controllable Mechanical System

Symmetry of the Lagrangians of holonomic nonconservative system in event space

Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system

Contact Info

Product

Resources

About