Bifurcation Theory of Functional Differential Equations [electronic resource] / by Shangjiang Guo, Jianhong Wu.
By: Guo, Shangjiang [author.].
Contributor(s): Wu, Jianhong [author.] | SpringerLink (Online service).
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BookSeries: Applied Mathematical Sciences: 184Publisher: New York, NY : Springer New York : Imprint: Springer, 2013Description: IX, 289 p. 18 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781461469926.Subject(s): Mathematics | Functional equations | Differentiable dynamical systems | Differential Equations | Mathematics | Difference and Functional Equations | Dynamical Systems and Ergodic Theory | Ordinary Differential EquationsDDC classification: 515.625 | 515.75 Online resources: Click here to access online
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Springer eBooksSummary: 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. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
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. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
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