The Method of Normal Forms

Based on a successful text, this second edition presents different concepts from dynamical systems theory and nonlinear dynamics. The introductory text systematically introduces models and techniques and states the relevant ranges of validity and applicability. New to this edition: 3 new chapters dedicated to Maps, Bifurcations of Continuous Systems, and Retarded Systems Key features: Retarded Systems has become a topic of major importance in several applications, in mechanics and other areas Provides a clear operational framework for conscious use of concepts and tools Presents a rich variety of examples, including their final outcome For most of the examples, the results obtained with the method of normal forms are equivalent to those obtained with other perturbation methods, such as the method of multiple scales and the method of averaging Explains and compares different applications of the considered concepts and techniques Assumes knowledge of basic calculus as well as the elementary properties of ordinary-differential equations

Ali Hasan Nayfeh received his B.S. in engineering science and his M.S. and Ph.D. in aeronautics and astronautics from Stanford University. He established and served as Dean of the College of Engineering, Yarmouk University, Jordan from 1980 to 1984. He is currently University Distinguished Professor of Engineering, Emeritus at the Virginia Polytechnic Institute and State University. He is the Founder and Editor-in-Chief of Nonlinear Dynamics and the Journal of Vibration and Control. Professor Nayfeh is a Fellow of the American Physical Society (APS), the American Institute of Aeronautics and Astronautics (AIAA), the American Society of Mechanical Engineers (ASME), the Society of Design and Process Science, and the American Academy of Mechanics (AAM).