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Titlebook: Bifurcation Theory of Functional Differential Equations; Shangjiang Guo,Jianhong Wu Book 2013 Springer Science+Business Media New York 201

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期刊全称Bifurcation Theory of Functional Differential Equations
影响因子2023Shangjiang Guo,Jianhong Wu
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发行地址Authored by two leading active researchers.Self-contained and with most recent results on state-dependent delay equations and global bifurcations.Contains theory and some related applications.Includes
学科分类Applied Mathematical Sciences
图书封面Titlebook: Bifurcation Theory of Functional Differential Equations;  Shangjiang Guo,Jianhong Wu Book 2013 Springer Science+Business Media New York 201
影响因子This book provides a crash course on various methods from the bifurcationtheory 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. Thiswell illustrated book aims to be self containedso the readers will find in this book all relevant materials inbifurcation, dynamical systems with symmetry, functional differentialequations, 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).
Pindex Book 2013
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Normal Form Theory,alysis. In the context of finite-dimensional ordinary differential equations (ODEs), this theory can be traced back as far as Euler. However, Poincaré [247] and Birkhoff [33] were the first to bring forth the theory in a more definite form.
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Degree Theory,.⊆.→., where . is some (real) Banach space. In this type of nonlinear problem, we are interested in the solutions of . In most cases, it turns out that it is too much to ask to determine the zeros analytically and explicitly. Hence one looks for a more qualitative study of the zeros, such as the num
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Elsa Carvalho,Jorge Cruz,Pedro Barahonaint to the (generalized) eigenspace of the neutrally stable eigenvalues. Since the local dynamic behavior . to the center manifold is relatively simple, the potentially complicated asymptotic behaviors of the full system are captured by the flows restricted to the center manifolds.
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