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Springer Series in Synergetics

Asymptotic Approaches in Nonlinear Dynamics

New Trends and Applications

Authors: Awrejcewicz, Jan, Andrianov, Igor V., Manevitch, Leonid I.

  • This book does not require sophisticated math-training. It teaches by examples and gives the recipes for the practitioner. This makes it a unique text in the nonlinear dynamic literature.

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-72079-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.99
price for USA
  • ISBN 978-3-642-72081-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

How well is Nature simulated by the varied asymptotic models that imaginative scientists have invented? B. Birkhoff [52J This book deals with asymptotic methods in nonlinear dynamics. For the first time a detailed and systematic treatment of new asymptotic methods in combination with the Pade approximant method is presented. Most of the basic results included in this manuscript have not been treated but just mentioned in the literature. Providing a state-of-the-art review of asymptotic applications, this book will prove useful as an introduction to the field for novices as well a reference for specialists. Asymptotic methods of solving mechanical and physical problems have been developed by many authors. For example, we can refer to the excel­ lent courses by A. Nayfeh [119-122]' M. Van Dyke [154], E.J. Hinch [94J and many others [59, 66, 95, 109, 126, 155, 163, 50d, 59dJ. The main features of the monograph presented are: 1) it is devoted to the basic principles of asymp­ totics and its applications, and 2) it deals with both traditional approaches (such as regular and singular perturbations, averaging and homogenization, perturbations of the domain and boundary shape) and less widely used, new approaches such as one- and two-point Pade approximants, the distributional approach, and the method of boundary perturbations.

Table of contents (4 chapters)

  • Introduction: Some General Principles of Asymptotology

    Awrejcewicz, Jan (et al.)

    Pages 1-12

  • Discrete Systems

    Awrejcewicz, Jan (et al.)

    Pages 13-150

  • Continuous Systems

    Awrejcewicz, Jan (et al.)

    Pages 151-251

  • Discrete—Continuous Systems

    Awrejcewicz, Jan (et al.)

    Pages 253-289

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-72079-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $129.99
price for USA
  • ISBN 978-3-642-72081-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Approaches in Nonlinear Dynamics
Book Subtitle
New Trends and Applications
Authors
Series Title
Springer Series in Synergetics
Series Volume
69
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-72079-6
DOI
10.1007/978-3-642-72079-6
Softcover ISBN
978-3-642-72081-9
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XI, 310
Topics