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Nonlinear Resonances

  • Shanmuganathan Rajasekar
  • Miguel A. F. Sanjuan

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 1-38
  3. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 39-81
  4. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 83-117
  5. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 119-137
  6. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 139-160
  7. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 161-201
  8. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 203-223
  9. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 225-240
  10. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 241-260
  11. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 261-291
  12. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 293-331
  13. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 333-350
  14. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 351-366
  15. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan
    Pages 367-390
  16. Back Matter
    Pages 391-409

About this book

Introduction

This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years.

Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others.

The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.

Keywords

Coupled oscillators Ghost resonance Parametric resonance Resonance and synchronization Resonances in nonlinear systems Stochastic resonance Vibrational resonance

Authors and affiliations

  • Shanmuganathan Rajasekar
    • 1
  • Miguel A. F. Sanjuan
    • 2
  1. 1.School of PhysicsBharathidasan University TiruchirappalliIndia
  2. 2.Department of PhysicsUniversidad Rey Juan CarlosMóstolesSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-24886-8
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-24884-4
  • Online ISBN 978-3-319-24886-8
  • Series Print ISSN 0172-7389
  • Series Online ISSN 2198-333X
  • Buy this book on publisher's site
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