Normal forms and unfoldings for local dynamical systems

書誌事項

Normal forms and unfoldings for local dynamical systems

James Murdock

(Springer monographs in mathematics)

Springer, c2003

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注記

Includes bibliographical references (p. [481]-487) and index

内容説明・目次

内容説明

This is the most thorough treatment of normal forms currently existing in book form. There is a substantial gap between elementary treatments in textbooks and advanced research papers on normal forms. This book develops all the necessary theory 'from scratch' in just the form that is needed for the application to normal forms, with as little unnecessary terminology as possible.

目次

Two Examples * The Splitting Problem for Linear Operators * Linear Normal Forms * Nonlinear Normal Forms * Geometrical Structures in Normal Forms * Selected Topics in Local Bifurcation Theory

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