skip to content
Bifurcations in piecewise-smooth continuous systems Preview this item
ClosePreview this item
Checking...

Bifurcations in piecewise-smooth continuous systems

Author: David John Warwick Simpson
Publisher: New Jersey : World Scientific, ©2010.
Series: World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 70.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are  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:
Simpson, David John Warwick.
Bifurcations in piecewise-smooth continuous systems.
Singapore ; Hackensack, NJ : World Scientific, 2010
(OCoLC)496957923
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David John Warwick Simpson
ISBN: 9789814293853 9814293857
OCLC Number: 670429733
Description: 1 online resource (xv, 238 pages) : illustrations (some color).
Contents: Fundamentals of Piecewise-Smooth, Continuous Systems; Discontinuous Bifurcations in Planar Systems; Codimension-Two, Discontinuous Bifurcations; The Growth of Saccharomyces cerevisiae; Codimension-Two, Border-Collision Bifurcations; Periodic Solutions and Resonance Tongues; Neimark-Sacker-Like Bifurcations;
Series Title: World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 70.
Responsibility: David John Warwick Simpson.

Abstract:

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. This title presents the results regarding bifurcations of piecewise-smooth, continuous,  Read more...

Reviews

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/670429733> # Bifurcations in piecewise-smooth continuous systems
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "670429733" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/370802842#Place/new_jersey> ; # New Jersey
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nju> ;
    schema:about <http://id.worldcat.org/fast/831564> ; # Bifurcation theory
    schema:about <http://experiment.worldcat.org/entity/work/data/370802842#Topic/mathematics_differential_equations_general> ; # MATHEMATICS--Differential Equations--General
    schema:about <http://id.worldcat.org/fast/1103039> ; # Saccharomyces cerevisiae
    schema:about <http://id.worldcat.org/fast/893446> ; # Differential equations
    schema:about <http://dewey.info/class/515.35/e22/> ;
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2010" ;
    schema:creator <http://viaf.org/viaf/128253786> ; # David John Warwick Simpson
    schema:datePublished "2010" ;
    schema:description "Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are unfolded in a rigorous manner. Several of these unfoldings are applied to a mathematical model of the growth of Saccharomyces cerevisiae (a common yeast). The nature of resonance near border-collision bifurcations is described; in particular, the curious geometry of resonance tongues in piecewise-smooth continuous maps is explained in detail. Neimark-Sacker-like border-collision bifurcations are both numerically and theoretically investigated. A comprehensive background section is conveniently provided for those with little or no experience in piecewise-smooth systems."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/370802842> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/370802842#Series/world_scientific_series_on_nonlinear_science> ; # World Scientific series on nonlinear science.
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/370802842#Series/world_scientific_series_on_nonlinear_science_series_a_monographs_and_treatises> ; # World Scientific series on nonlinear science. Series A, Monographs and treatises ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/496957923> ;
    schema:name "Bifurcations in piecewise-smooth continuous systems"@en ;
    schema:productID "670429733" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/670429733#PublicationEvent/new_jersey_world_scientific_2010> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/370802842#Agent/world_scientific> ; # World Scientific
    schema:url <http://www.myilibrary.com?id=276342> ;
    schema:url <http://www.myilibrary.com?id=276342&ref=toc> ;
    schema:url <http://ebookcentral.proquest.com/lib/warw/detail.action?docID=731331> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=731331> ;
    schema:url <http://site.ebrary.com/id/10422400> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340685> ;
    schema:url <http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=731331> ;
    schema:url <http://ebookcentral.proquest.com/lib/columbia/detail.action?docID=731331> ;
    schema:url <http://ebooks.worldscinet.com/ISBN/9789814293853/9789814293853.html> ;
    schema:workExample <http://worldcat.org/isbn/9789814293853> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/670429733> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/370802842#Agent/world_scientific> # World Scientific
    a bgn:Agent ;
    schema:name "World Scientific" ;
    .

<http://experiment.worldcat.org/entity/work/data/370802842#Series/world_scientific_series_on_nonlinear_science> # World Scientific series on nonlinear science.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/670429733> ; # Bifurcations in piecewise-smooth continuous systems
    schema:name "World Scientific series on nonlinear science." ;
    .

<http://experiment.worldcat.org/entity/work/data/370802842#Series/world_scientific_series_on_nonlinear_science_series_a_monographs_and_treatises> # World Scientific series on nonlinear science. Series A, Monographs and treatises ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/670429733> ; # Bifurcations in piecewise-smooth continuous systems
    schema:name "World Scientific series on nonlinear science. Series A, Monographs and treatises ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/370802842#Topic/mathematics_differential_equations_general> # MATHEMATICS--Differential Equations--General
    a schema:Intangible ;
    schema:name "MATHEMATICS--Differential Equations--General"@en ;
    .

<http://id.worldcat.org/fast/1103039> # Saccharomyces cerevisiae
    a schema:Intangible ;
    schema:name "Saccharomyces cerevisiae"@en ;
    .

<http://id.worldcat.org/fast/831564> # Bifurcation theory
    a schema:Intangible ;
    schema:name "Bifurcation theory"@en ;
    .

<http://id.worldcat.org/fast/893446> # Differential equations
    a schema:Intangible ;
    schema:name "Differential equations"@en ;
    .

<http://viaf.org/viaf/128253786> # David John Warwick Simpson
    a schema:Person ;
    schema:familyName "Simpson" ;
    schema:givenName "David John Warwick" ;
    schema:name "David John Warwick Simpson" ;
    .

<http://worldcat.org/isbn/9789814293853>
    a schema:ProductModel ;
    schema:isbn "9814293857" ;
    schema:isbn "9789814293853" ;
    .

<http://www.worldcat.org/oclc/496957923>
    a schema:CreativeWork ;
    rdfs:label "Bifurcations in piecewise-smooth continuous systems." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/670429733> ; # Bifurcations in piecewise-smooth continuous systems
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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