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Publisher: Cambridge University Press
Chow, Shui-Nee, Li, Chengzhi , Wang, Duo
In practice, many mathematical models are described as ordinary differential equations with parameters. The structures of solutions to those equations may change when parameters vary. To study these phenomena is the theme of bifurcation theory, which has developed very rapidly in 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 one may reduce the dimension of equations and change forms of equations 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.Chow, Shui-Nee is the author of 'Normal Forms and Bifurcation of Planar Vector Fields' with ISBN 9780521372268 and ISBN 0521372267.
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