The Method of Normal Forms
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The Method of Normal Forms

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eBook - ePub

The Method of Normal Forms

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About This Book

In this introductory treatment Ali Nayfeh presents different concepts from dynamical systems theory and nonlinear dynamics in a rigorous yet plan way. He systematically introduces models and techniques and states the relevant ranges of validity and applicability.
The reader is provided with a clear operational framework for consciously use rather than focused on the underlying mathematical apparatus. The exposition is largely by means of examples, dealt with up to 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.
The previous edition had a remarkable success by researchers from all over the world working in the area of nonlinear dynamics and their applications in engineering. Additions to this new edition concern major topics of current interest. In particular, the author added three new chapters dedicated to Maps, Bifurcations of Continuous Systems, and Retarded Systems. In particular the latter has become of major importance in several applications, both in mechanics and in different areas.
Accessible to engineers and applied scientist involved with nonlinear dynamics and their applications in a wide variety of fields. It is assumed that readers have a knowledge of basic calculus as well as the elementary properties of ordinary-differential equations.

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Yes, you can access The Method of Normal Forms by Ali H. Nayfeh in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley-VCH
Year
2011
ISBN
9783527635771
Edition
2
Topic
Physical Sciences
Subtopic
Mathematical & Computational Physics

Table of contents

  1. Cover
  2. Half Title page
  3. Related Titles
  4. Title page
  5. Copyright page
  6. Dedication
  7. Preface
  8. Introduction
  9. Chapter 1: SDOF Autonomous Systems
  10. Chapter 2: Systems of First-Order Equations
  11. Chapter 3: Maps
  12. Chapter 4: Bifurcations of Continuous Systems
  13. Chapter 5: Forced Oscillations of the Duffing Oscillator
  14. Chapter 6: Forced Oscillations of SDOF Systems
  15. Chapter 7: Parametrically Excited Systems
  16. Chapter 8: MDOF Systems with Quadratic Nonlinearities
  17. Chapter 9: TDOF Systems with Cubic Nonlinearities
  18. Chapter 10: Systems with Quadratic and Cubic Nonlinearities
  19. Chapter 11: Retarded Systems
  20. References
  21. Further Reading
  22. Index