skip to content
Discontinuous Dynamical Systems Preview this item
ClosePreview this item
Checking...

Discontinuous Dynamical Systems

Author: Albert C J Luo
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

This book presents a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely alter traditional concepts and ideas , and could form the  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Albert C J Luo
ISBN: 9783642224614 364222461X 9783642224607 3642224601
OCLC Number: 794713670
Description: 1 online resource
Contents: Title Page; Copyright Page; Preface; Table of Contents; Chapter 1 Introduction; 1.1. A brief history; 1.2. Book layout; References; Chapter 2 Introduction to Flow Passability; 2.1. Domain accessibility; 2.2. Discontinuous dynamical systems; 2.3. Flow passability; 2.4. Grazing flows; 2.5. Switching bifurcations of passable flows; 2.6. Switching bifurcations of non-passable flows; 2.7. An application: A frictional oscillator; 2.7.1. Grazing phenomena; 2.7.2. Sliding motion; References; Chapter 3 Singularity and Flow Passability; 3.1. Real and imaginary flows. 3.2. G-functions and vector field decomposition3.3. Passable flows; 3.4. Non-passable flows; 3.5. Grazing flows; 3.6. Flow switching bifurcations; 3.7. First integral quantity increments; 3.8. An example; 3.8.1. Conditions for sliding and grazing; 3.8.2. Periodic motions; 3.9. Concluding remarks; References; Chapter 4 Flow Barriers and Switchability; 4.1. Flow barriers for passable flows; 4.1.1. Coming flow barriers; 4.1.2. Leaving flow barriers; 4.1.3. Passable flows with both flow barriers; 4.2. Flow barriers for sink flows; 4.3. Flow barriers for source flows; 4.3.1. Boundary flow barriers. 4.3.2. Leaving flows barriers4.4. Sink flows with flow barriers; 4.5. An application; 4.5.1. Switchability conditions; 4.5.2. Illustrations; 4.6. Concluding remarks; References; Chapter 5 Transport Laws and Multi-valued Vector Fields; 5.1. Discontinuity classification; 5.2. Singular sets on boundary; 5.3. Forbidden boundary and boundary channels; 5.3.1. Forbidden boundary; 5.3.2. Boundary channels; 5.4. Domain and boundary classifications; 5.4.1. Domain classification; 5.4.2. Boundary classifications; 5.5. Transport laws; 5.6. Multi-valued vector fields and bouncing flows. 5.6.1. Bouncing flows5.6.2. Extended passable flows; 5.7 A controlled piecewise linear system; 5.7.1. Passable and bouncing conditions; 5.7.2. Illustrations; References; Chapter 6 Switchability and Attractivity of Domain Flows; 6.1. Dynamical systems on edges; 6.2. Edge classification and mirror domains; 6.3. Domain flow properties to convex edges; 6.4. Domain flow switchability to convex edges; 6.5. Transverse grazing passability to concave edges; 6.6. Domains flow attractivity; 6.6.1. Attractivity to boundary; 6.6.2. Attractivity to edge; 6.7. Multi-valued vector fields switching at edges. 6.7.1. Bouncing domain flows at edges6.7.2. Extended passable domain flows to edges; References; Chapter 7 Dynamics and Singularity of Boundary Flows; 7.1. Boundary flow properties; 7.2. Boundary flow switchability; 7.3. Switchability of boundary and domain flows; 7.4. Boundary flow attractility; 7.5. Boundary dynamics with multi-valued vector fields; 7.5.1. Bouncing boundary flows; 7.5.2. Extended passable boundary flows; References; Chapter 8 Edge Dynamics and Switching Complexity; 8.1. Edge flows; 8.2. Edge flow switchability; 8.3. Edge flow attractivity.
Responsibility: by Albert C.J. Luo.
More information:

Reviews

Editorial reviews

Publisher Synopsis

From the reviews: "I highly recommend this book to both scientists and researchers as well as to university teachers and students with an interest in discontinuous dynamical systems, and I believe Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/794713670> # Discontinuous Dynamical Systems
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
    library:oclcnum "794713670" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1190117735#Place/berlin_heidelberg> ; # Berlin, Heidelberg
    schema:about <http://dewey.info/class/519/e23/> ;
    schema:about <http://id.worldcat.org/fast/894900> ; # Discontinuous functions
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Topic/systems_theory> ; # Systems theory
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Topic/nonlinear_oscillations> ; # Nonlinear oscillations
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Thing/systems_theory_control> ; # Systems Theory, Control.
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Thing/vibration_dynamical_systems_control> ; # Vibration, Dynamical Systems, Control.
    schema:about <http://id.worldcat.org/fast/900295> ; # Dynamics
    schema:about <http://id.loc.gov/authorities/subjects/sh85143117> ; # Vibration
    schema:about <http://id.loc.gov/authorities/subjects/sh85082139> ; # Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Thing/mathematics> ; # Mathematics.
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Topic/mathematics> ; # Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Thing/nonlinear_dynamics> ; # Nonlinear Dynamics.
    schema:about <http://experiment.worldcat.org/entity/work/data/1190117735#Topic/differentiable_dynamical_systems> ; # Differentiable dynamical systems
    schema:bookFormat schema:EBook ;
    schema:creator <http://viaf.org/viaf/16852976> ; # Albert C. J. Luo
    schema:datePublished "2012" ;
    schema:description "Title Page; Copyright Page; Preface; Table of Contents; Chapter 1 Introduction; 1.1. A brief history; 1.2. Book layout; References; Chapter 2 Introduction to Flow Passability; 2.1. Domain accessibility; 2.2. Discontinuous dynamical systems; 2.3. Flow passability; 2.4. Grazing flows; 2.5. Switching bifurcations of passable flows; 2.6. Switching bifurcations of non-passable flows; 2.7. An application: A frictional oscillator; 2.7.1. Grazing phenomena; 2.7.2. Sliding motion; References; Chapter 3 Singularity and Flow Passability; 3.1. Real and imaginary flows."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1190117735> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/1190117735#CreativeWork/> ;
    schema:name "Discontinuous Dynamical Systems"@en ;
    schema:productID "794713670" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/794713670#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_2012> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/1190117735#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=973404> ;
    schema:url <http://www.myilibrary.com?id=371128> ;
    schema:url <http://dx.doi.org/10.1007/978-3-642-22461-4> ;
    schema:url <http://www.myilibrary.com?id=371128&ref=toc> ;
    schema:workExample <http://worldcat.org/isbn/9783642224607> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-642-22461-4> ;
    schema:workExample <http://worldcat.org/isbn/9783642224614> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/794713670> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1190117735#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
    schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/1190117735#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
    schema:name "Berlin, Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/1190117735#Thing/nonlinear_dynamics> # Nonlinear Dynamics.
    a schema:Thing ;
    schema:name "Nonlinear Dynamics." ;
    .

<http://experiment.worldcat.org/entity/work/data/1190117735#Thing/systems_theory_control> # Systems Theory, Control.
    a schema:Thing ;
    schema:name "Systems Theory, Control." ;
    .

<http://experiment.worldcat.org/entity/work/data/1190117735#Thing/vibration_dynamical_systems_control> # Vibration, Dynamical Systems, Control.
    a schema:Thing ;
    schema:name "Vibration, Dynamical Systems, Control." ;
    .

<http://experiment.worldcat.org/entity/work/data/1190117735#Topic/differentiable_dynamical_systems> # Differentiable dynamical systems
    a schema:Intangible ;
    schema:name "Differentiable dynamical systems"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1190117735#Topic/nonlinear_oscillations> # Nonlinear oscillations
    a schema:Intangible ;
    schema:name "Nonlinear oscillations"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85082139> # Mathematics
    a schema:Intangible ;
    schema:name "Mathematics"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85143117> # Vibration
    a schema:Intangible ;
    schema:name "Vibration"@en ;
    .

<http://id.worldcat.org/fast/894900> # Discontinuous functions
    a schema:Intangible ;
    schema:name "Discontinuous functions"@en ;
    .

<http://id.worldcat.org/fast/900295> # Dynamics
    a schema:Intangible ;
    schema:name "Dynamics"@en ;
    .

<http://viaf.org/viaf/16852976> # Albert C. J. Luo
    a schema:Person ;
    schema:familyName "Luo" ;
    schema:givenName "Albert C. J." ;
    schema:name "Albert C. J. Luo" ;
    .

<http://worldcat.org/isbn/9783642224607>
    a schema:ProductModel ;
    schema:isbn "3642224601" ;
    schema:isbn "9783642224607" ;
    .

<http://worldcat.org/isbn/9783642224614>
    a schema:ProductModel ;
    schema:isbn "364222461X" ;
    schema:isbn "9783642224614" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.