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Springer Series in Synergetics

Nonlinear Resonances

Authors: Rajasekar, Shanmuganathan, Vallejo, Juan C

  • Written by leading experts in the field
  • Offers a systematic overview of all types of resonances and anti-resonances in dynamical systems
  • Provides detailed mathematical derivations and numerical techniques
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eBook 79,72 €
price for France (gross)
  • ISBN 978-3-319-24886-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 100,21 €
price for France (gross)
  • ISBN 978-3-319-24884-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.

Shanmuganathan Rajasekar is full professor at the School of Physics, Bharathidasan University, India. He received the Ph.D. degree in Physics (Nonlinear Dynamics) in 1992 under the supervision of Prof. M. Lakshmanan with whom, he co-authored the Springer textbook Nonlinear Dynamics: Integrability, Chaos and Patterns. His recent research focuses on nonlinear dynamics with a special emphasis on nonlinear resonances.

Reviews

“The authors have identified a really remarkable set of modern-day topics which resonate (pun inevitable and intended) with the main themes of the book. … The book is intended for graduate students but, as suggested in the book, one is confident that it will find a ready market amongst researchers in the broad area of nonlinear dynamics who require an accessible reference work on nonlinear resonances. The authors of this volume have performed a valuable service for that community.” (K. Alan Shore, Contemporary Physics, Vol. 57 (4), 2016)


Table of contents (14 chapters)

  • Harmonic and Nonlinear Resonances

    Rajasekar, Shanmuganathan (et al.)

    Pages 1-38

    Preview Buy Chapter 29,94 €
  • Stochastic Resonance

    Rajasekar, Shanmuganathan (et al.)

    Pages 39-81

    Preview Buy Chapter 29,94 €
  • Vibrational Resonance in Monostable Systems

    Rajasekar, Shanmuganathan (et al.)

    Pages 83-117

    Preview Buy Chapter 29,94 €
  • Vibrational Resonance in Multistable and Excitable Systems

    Rajasekar, Shanmuganathan (et al.)

    Pages 119-137

    Preview Buy Chapter 29,94 €
  • Vibrational and Stochastic Resonances in Spatially Periodic Systems

    Rajasekar, Shanmuganathan (et al.)

    Pages 139-160

    Preview Buy Chapter 29,94 €

Buy this book

eBook 79,72 €
price for France (gross)
  • ISBN 978-3-319-24886-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 100,21 €
price for France (gross)
  • ISBN 978-3-319-24884-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Resonances
Authors
Series Title
Springer Series in Synergetics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-24886-8
DOI
10.1007/978-3-319-24886-8
Hardcover ISBN
978-3-319-24884-4
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XVII, 409
Number of Illustrations
16 b/w illustrations, 226 illustrations in colour
Topics