Nonlinear Dynamics
Exploration Through Normal Forms
Wiley (Publisher)
1st Edition
Published on 15. December 1997
Book
Hardback
401 pages
978-0-471-17682-4 (ISBN)
Description
This book explains the method of normal forms and elaborates on the concept of non-uniqueness or freedom in the normal form expansion. It then goes on to explain how these techniques are used to study a broad spectrum of nonlinear systems.
More details
Series
Edition
1., Aufl.
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Dimensions
Height: 24.5 cm
Width: 16 cm
Weight
794 gr
ISBN-13
978-0-471-17682-4 (9780471176824)
Schweitzer Classification
Persons
PETER B. KAHN, PhD, is Professor of Physics in the State University of New York, Stony Brook, Department of Physics. Dr. Kahn received his doctorate in physics from Northwestern University. He is a Fellow of the American Physical Society. He is also the author of Mathematical Methods for Scientists and Engineers (Wiley).
YAIR ZARMI, PhD, is the Kurt and Phyllis Kilstock Professor of Environmental Physics at the Jacob Blaustein Institute for Desert Research, Ben-Gurion University of the Negev, Israel. Dr. Zarmi received his doctorate in theoretical high-energy physics from the Weizmann Institute of Science, Israel. A groundbreaking exploration of one of contemporary science's most powerful investigative tools
YAIR ZARMI, PhD, is the Kurt and Phyllis Kilstock Professor of Environmental Physics at the Jacob Blaustein Institute for Desert Research, Ben-Gurion University of the Negev, Israel. Dr. Zarmi received his doctorate in theoretical high-energy physics from the Weizmann Institute of Science, Israel. A groundbreaking exploration of one of contemporary science's most powerful investigative tools
Content
The Text: Its Scope, Style, and Content; Basic Concepts; Naive Perturbation Theory (NPT); Formalism of Perturbation Expansion; Problems with Eigenvalues That Have Negative Real Part; Normal Form Expansion for Conservative Planar Systems; Dissipative Planar Systems; Nonautonomous Oscillatory Systems; Problems with a Zero Eigenvalue; Higher-Dimensional Hamiltonian Systems; Higher-Dimensional Dissipative Systems; Appendix; Index.