Ordinary Differential Equations and Dynamical Systems
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Cod produs/ISBN: 9789462390201
Disponibilitate: Acest produs nu este momentan in stoc
Autor: Thomas C. Sideris
Editura: Springer
Limba: Engleza
Nr. pagini: 240
Coperta: Hardback
Dimensiuni: 15.6 x 1.4 x 23.4 cm
An aparitie: 2013
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
Springer
Springer
An aparitie | 2013 |
Autor | Thomas C. Sideris |
Dimensiuni | 15.6 x 1.4 x 23.4 cm |
Editura | Springer |
Format | Hardback |
ISBN | 9789462390201 |
Limba | Engleza |
Nr pag | 240 |
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