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Bifurcation theory of functional differential equations

Author: Shangjiang Guo; Jianhong Wu
Publisher: New York, NY : Springer, 2013.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 184.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Shangjiang Guo; Jianhong Wu
ISBN: 9781461469926 1461469929
OCLC Number: 856996154
Language Note: English.
Description: 1 online resource (ix, 289 pages) : illustrations
Contents: Introduction to Dynamic Bifurcation Theory --
Introduction to Functional Differential Equations --
Center Manifold Reduction --
Normal Form Theory --
Lyapunov-Schmidt Reduction --
Degree Theory --
Bifurcation in Symmetric FDEs.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 184.
Responsibility: Shangjiang Guo, Jianhong Wu.

Abstract:

This book provides a crash course on various methods from the bifurcationtheory of Functional Differential Equations (FDEs).  Read more...

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"The book contains a comprehensive list of references to the subject and can be particularly helpful for readers who are interested in the mathematical details that arise in the study of bifurcations Read more...

 
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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/856996154<\/a>> # Bifurcation theory of functional differential equations<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Book<\/a>, schema:MediaObject<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"856996154<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics_mathematical_analysis<\/a>> ; # MATHEMATICS--Mathematical Analysis<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/differential_equations<\/a>> ; # differential equations<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/515.392\/e23\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/wiskunde_algemeen<\/a>> ; # Wiskunde (algemeen)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics_calculus<\/a>> ; # MATHEMATICS--Calculus<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics<\/a>> ; # mathematics<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/wiskunde<\/a>> ; # wiskunde<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/differentiaalvergelijkingen<\/a>> ; # differentiaalvergelijkingen<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics_general<\/a>> ; # Mathematics (General)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/831564<\/a>> ; # Bifurcation theory<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/936063<\/a>> ; # Functional differential equations<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/viaf.org\/viaf\/22298653<\/a>> ; # Jianhong Wu<\/span>\n\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/viaf.org\/viaf\/305149217<\/a>> ; # Shangjiang Guo<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> schema:EBook<\/a> ;\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2013<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters. The book aims to be self-contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. 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Related Entities<\/h3>\n
<http:\/\/dewey.info\/class\/515.392\/e23\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Series\/applied_mathematical_sciences<\/a>> # Applied Mathematical Sciences ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/856996154<\/a>> ; # Bifurcation theory of functional differential equations<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Applied Mathematical Sciences ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/differentiaalvergelijkingen<\/a>> # differentiaalvergelijkingen<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"differentiaalvergelijkingen<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/differential_equations<\/a>> # differential equations<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"differential equations<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics<\/a>> # mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"mathematics<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics_calculus<\/a>> # MATHEMATICS--Calculus<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"MATHEMATICS--Calculus<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics_general<\/a>> # Mathematics (General)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics (General)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/mathematics_mathematical_analysis<\/a>> # MATHEMATICS--Mathematical Analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"MATHEMATICS--Mathematical Analysis<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/wiskunde<\/a>> # wiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"wiskunde<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1636561140#Topic\/wiskunde_algemeen<\/a>> # Wiskunde (algemeen)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Wiskunde (algemeen)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"nyu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/831564<\/a>> # Bifurcation theory<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Bifurcation theory<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/936063<\/a>> # Functional differential equations<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Functional differential equations<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/22298653<\/a>> # Jianhong Wu<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1964<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Wu<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Jianhong<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Jianhong Wu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/305149217<\/a>> # Shangjiang Guo<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Guo<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Shangjiang<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Shangjiang Guo<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/worldcat.org\/isbn\/9781461469926<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"1461469929<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9781461469926<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n