Functional Differential Equations And Bifurcation
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Functional Differential Equations And Bifurcation
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Author : Antonio F. Ize
language : en
Publisher: Springer
Release Date : 2006-11-14
Functional Differential Equations And Bifurcation written by Antonio F. Ize and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
Functional Differential Equations And Bifurcation
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Author : Antonio F. Ize
language : en
Publisher:
Release Date : 2014-01-15
Functional Differential Equations And Bifurcation written by Antonio F. Ize and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Bifurcation Theory Of Functional Differential Equations
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Author : Shangjiang Guo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-30
Bifurcation Theory Of Functional Differential Equations written by Shangjiang Guo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-30 with Mathematics categories.
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 with chap. This well illustrated 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. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
Functional Differential Equations And Bifurcation
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Author : A. F. Izé
language : en
Publisher:
Release Date : 1980
Functional Differential Equations And Bifurcation written by A. F. Izé and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Bifurcation theory categories.
Functional Differential Equations And Bifurcation
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Author : Antonio Fernandes Ize
language : en
Publisher:
Release Date : 1980
Functional Differential Equations And Bifurcation written by Antonio Fernandes Ize and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Bifurcation From A Saddle Connection In Functional Differential Equations
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Author : Hans-Otto Walther
language : en
Publisher:
Release Date : 1990
Bifurcation From A Saddle Connection In Functional Differential Equations written by Hans-Otto Walther and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Bifurcation theory categories.
Functional Differential Equations And Bifurcation
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Author : A. F. Ize
language : en
Publisher:
Release Date : 1980
Functional Differential Equations And Bifurcation written by A. F. Ize and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Functional Differential Equations And Bifurcation
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Author : Antonio Fernandes Ize
language : en
Publisher:
Release Date : 1980
Functional Differential Equations And Bifurcation written by Antonio Fernandes Ize and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Bifurcation theory categories.
Functional Differential Equations And Bifurcation Proceedings Of A Conference S O Carlos 1979
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Author :
language : en
Publisher:
Release Date :
Functional Differential Equations And Bifurcation Proceedings Of A Conference S O Carlos 1979 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Bifurcation Theory Of Impulsive Dynamical Systems
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Author : Kevin E.M. Church
language : en
Publisher: Springer Nature
Release Date : 2021-03-24
Bifurcation Theory Of Impulsive Dynamical Systems written by Kevin E.M. Church and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-24 with Mathematics categories.
This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations. Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state.