Normal Forms and Unfoldings for Local Dynamical Systems

James Murdock

Normal Forms and Unfoldings for Local Dynamical Systems
Format
Hardback
Publisher
Springer-Verlag New York Inc.
Country
United States
Published
20 November 2002
Pages
500
ISBN
9780387954646

Normal Forms and Unfoldings for Local Dynamical Systems

James Murdock

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The largest part of this book is devoted to normal forms, divided into semisimple theory, applied when the linear part is diagonalizable, and the general theory, applied when the linear part is the sum of the semisimple and nilpotent matrices. One of the objectives of this book is to develop all of 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. The intended audience is Ph.D. students and researchers in applied mathematics, theoretical physics, and advanced engineering, though in principle it could be read by anyone with a sufficient background in linear algebra and differential equations.

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