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    Normal Forms and Bifurcation of Planar Vector Fields

Normal Forms and Bifurcation of Planar Vector Fields

Shui-Nee Chow, Chengzhi Li, Duo Wang
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      This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.
      Format: CONTRIBUTORS: Shui-Nee Chow, Chengzhi Li, Duo Wang EAN: 9780521372268 COUNTRY: United Kingdom PAGES: WEIGHT: 850 g HEIGHT: 229 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 1994-07-29 CITY: GENRE: MATHEMATICS / General WIDTH: 152 cm SPINE:

      Book Themes:

      Differential calculus and equations, Differential and Riemannian geometry

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      This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.
      Format: CONTRIBUTORS: Shui-Nee Chow, Chengzhi Li, Duo Wang EAN: 9780521372268 COUNTRY: United Kingdom PAGES: WEIGHT: 850 g HEIGHT: 229 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 1994-07-29 CITY: GENRE: MATHEMATICS / General WIDTH: 152 cm SPINE:

      Book Themes:

      Differential calculus and equations, Differential and Riemannian geometry

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      Be the first to write a review
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