Normal forms and unfoldings for local dynamical systems
By: James Murdock.
Series: Springer monographs in mathematics
Publisher: Springer
Published: 2003
Place of publication: New York
Language: eng
Number of pages: 494
Subjects: Differentiable dynamical systems.; Normal forms (Mathematics)
Description: 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.
Notes: Includes bibliographical references (p. [481]-487) and index.