pular para conteúdo
Geometry of nonholonomically constrained systems Ver prévia deste item
FecharVer prévia deste item
Checando...

Geometry of nonholonomically constrained systems

Autor: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
Editora: Singapore ; Hackensack, NJ : World Scientific, ©2010.
Séries: Advanced series in nonlinear dynamics, v. 26.
Edição/Formato   Print book : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
"This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of  Ler mais...
Classificação:

(ainda não classificado) 0 com críticas - Seja o primeiro.

Assuntos
Mais como este

 

Encontrar uma cópia na biblioteca

&AllPage.SpinnerRetrieving; Encontrando bibliotecas que possuem este item...

Detalhes

Tipo de Documento: Livro
Todos os Autores / Contribuintes: Richard H Cushman; J J Duistermaat; Jędrzej Śniatycki
ISBN: 9789814289481 9814289485
Número OCLC: 410223593
Descrição: xvi, 404 pages : illustrations ; 24 cm.
Conteúdos: Nonholonomically Constrained Motions; Group Actions and Orbit Spaces; Symmetry and Reduction; Reconstruction, Relative Equilibria and Periodic Orbits; Caratheodory's Sleigh; Convex Rolling Rigid Body; The Rolling Disk.
Título da Série: Advanced series in nonlinear dynamics, v. 26.
Responsabilidade: Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki.

Resumo:

Offers a modern differential geometric treatment of linearly nonholonomically constrained systems. This title discusses what is meant by symmetry of such a system and gives a general theory of how to  Ler mais...

Críticas

Críticas editoriais

Nielsen BookData

I consider this book as a fundamental reference on nonholonomic dynamics. It covers a broad variety of topics and problems covering these kinds of systems. It shows the importance of the geometric Ler mais...

 
Críticas contribuídas por usuários
Recuperando críticas GoodReas...
Recuperando comentários DOGObooks

Etiquetas

Seja o primeiro.
Confirmar esta solicitação

Você já pode ter solicitado este item. Por favor, selecione Ok se gostaria de proceder com esta solicitação de qualquer forma.

Dados Ligados


Primary Entity

<http://www.worldcat.org/oclc/410223593> # Geometry of nonholonomically constrained systems
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "410223593" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/297506125#Place/hackensack_nj> ; # Hackensack, NJ
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/297506125#Place/singapore> ; # Singapore
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/si> ;
   schema:about <http://id.worldcat.org/fast/1097951> ; # Rigidity (Geometry)
   schema:about <http://experiment.worldcat.org/entity/work/data/297506125#Topic/differentialgeometrie_mechanik> ; # Differentialgeometrie--Mechanik
   schema:about <http://id.worldcat.org/fast/940919> ; # Geometry, Differential
   schema:about <http://experiment.worldcat.org/entity/work/data/297506125#Topic/mechanik_differentialgeometrie> ; # Mechanik--Differentialgeometrie
   schema:about <http://dewey.info/class/516.36/e22/> ;
   schema:about <http://id.worldcat.org/fast/1038757> ; # Nonholonomic dynamical systems
   schema:about <http://id.worldcat.org/fast/846709> ; # Caratheodory measure
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/44862588> ; # Jędrzej Śniatycki
   schema:contributor <http://viaf.org/viaf/85162726> ; # Johannes Jisse Duistermaat
   schema:copyrightYear "2010" ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/297506125#Person/cushman_richard_h_1942> ; # Richard H. Cushman
   schema:datePublished "2010" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/297506125> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/297506125#Series/advanced_series_in_nonlinear_dynamics> ; # Advanced series in nonlinear dynamics ;
   schema:name "Geometry of nonholonomically constrained systems"@en ;
   schema:productID "410223593" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/410223593#PublicationEvent/singapore_hackensack_nj_world_scientific_2010> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/297506125#Agent/world_scientific> ; # World Scientific
   schema:reviews <http://www.worldcat.org/title/-/oclc/410223593#Review/-1095048195> ;
   schema:workExample <http://worldcat.org/isbn/9789814289481> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA989539> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/410223593> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/297506125#Agent/world_scientific> # World Scientific
    a bgn:Agent ;
   schema:name "World Scientific" ;
    .

<http://experiment.worldcat.org/entity/work/data/297506125#Person/cushman_richard_h_1942> # Richard H. Cushman
    a schema:Person ;
   schema:birthDate "1942" ;
   schema:familyName "Cushman" ;
   schema:givenName "Richard H." ;
   schema:name "Richard H. Cushman" ;
    .

<http://experiment.worldcat.org/entity/work/data/297506125#Series/advanced_series_in_nonlinear_dynamics> # Advanced series in nonlinear dynamics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/410223593> ; # Geometry of nonholonomically constrained systems
   schema:name "Advanced series in nonlinear dynamics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/297506125#Topic/differentialgeometrie_mechanik> # Differentialgeometrie--Mechanik
    a schema:Intangible ;
   schema:name "Differentialgeometrie--Mechanik"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/297506125#Topic/mechanik_differentialgeometrie> # Mechanik--Differentialgeometrie
    a schema:Intangible ;
   schema:name "Mechanik--Differentialgeometrie"@en ;
    .

<http://id.worldcat.org/fast/1038757> # Nonholonomic dynamical systems
    a schema:Intangible ;
   schema:name "Nonholonomic dynamical systems"@en ;
    .

<http://id.worldcat.org/fast/1097951> # Rigidity (Geometry)
    a schema:Intangible ;
   schema:name "Rigidity (Geometry)"@en ;
    .

<http://id.worldcat.org/fast/846709> # Caratheodory measure
    a schema:Intangible ;
   schema:name "Caratheodory measure"@en ;
    .

<http://id.worldcat.org/fast/940919> # Geometry, Differential
    a schema:Intangible ;
   schema:name "Geometry, Differential"@en ;
    .

<http://viaf.org/viaf/44862588> # Jędrzej Śniatycki
    a schema:Person ;
   schema:familyName "Śniatycki" ;
   schema:givenName "Jędrzej" ;
   schema:name "Jędrzej Śniatycki" ;
    .

<http://viaf.org/viaf/85162726> # Johannes Jisse Duistermaat
    a schema:Person ;
   schema:birthDate "1942" ;
   schema:familyName "Duistermaat" ;
   schema:givenName "Johannes Jisse" ;
   schema:givenName "J. J." ;
   schema:name "Johannes Jisse Duistermaat" ;
    .

<http://worldcat.org/isbn/9789814289481>
    a schema:ProductModel ;
   schema:isbn "9814289485" ;
   schema:isbn "9789814289481" ;
    .

<http://www.worldcat.org/title/-/oclc/410223593#Review/-1095048195>
    a schema:Review ;
   schema:itemReviewed <http://www.worldcat.org/oclc/410223593> ; # Geometry of nonholonomically constrained systems
   schema:reviewBody ""This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Caratheodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat." "The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields."--Jacket." ;
    .


Content-negotiable representations

Close Window

Por favor, conecte-se ao WorldCat 

Não tem uma conta? Você pode facilmente criar uma conta gratuita.