The Method of Normal Forms

Overview

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 ...

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The Method of Normal Forms

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Overview

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

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Product Details

  • ISBN-13: 9783527410972
  • Publisher: Wiley
  • Publication date: 9/27/2011
  • Edition description: 2nd, Updated and Enlarged Edition
  • Edition number: 2
  • Pages: 342
  • Product dimensions: 6.90 (w) x 9.70 (h) x 0.90 (d)

Meet the Author

Ali Hasan Nayfeh received his B.S. on engineering science and hisM.S. and PhD in aeronautics and astronautics from StanfordUniversity. He established and served as Dean of the College ofEngineering, Yarmouk University, Jordan from 1980-1984. He iscurrently University Distinguished Professor of Engineering atVirginia Polytechnic Institute and State University. He is theEditor of Wiley Series in Nonlinear Science and editor in Chief ofNonlinear Dynamics and the Journal of Vibration and Control.
Prof. Nayfeh is a fellow of the American Physical Society (APS),the American Institute of Aeronautics and Astronautics (AIAA), theAmerican Society of Mechanical Engineers (ASME), the Society ofDesign and Process Science, and the American Academy of Mechanics(AAM). He holds honrary doctorates from Marine TechnicalUniversity, Russia, Technical University of Munich, Germany, andPolitechnika Szczecinsksa, Poland.
Prof. Nayfeh received AIAA's Pendray Aerospace Literature Award in1995; ASME's J. P. Den Hartog Award in 1997; the Frank J. MaherAward for Excellence in Engineering Education in 1997; ASME'sLyapunov Award in 2005; the Virginia Academy of Science's LifeAchievement in Science Award in 2005; the Gold Medal of Honor fromthe Academy of Trans-Disciplinary Learning and Advanced Studies in2007; and the Thomas K. Caughey Dynamics Award in 2008.

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Table of Contents

Preface
Introduction
1 SDOF Autonomous Systems
2 Systems of First-Order Equations
3 Maps
4 Bifurcations of Continuous Systems
5 Forced Oscillations of the Duffing Oscillator
6 Forced Oscillations of SDOF Systems
7 Parametrically Excited Systems
8 MDOF Systems with Quadratic Nonlinearities
9 TDOF Systesm with Cubic Nonlinearities
10 Systems with Quadratic and Cubic Nonlinearities
11 Retarded Systems
Bibliography
Subject Index

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