Nonlinear Systems and Complexity

Periodic Flows to Chaos in Time-delay Systems

Authors: Luo, Albert C. J.

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  • Facilitates discovery of analytical solutions of nonlinear time-delay systems
  • Illustrates bifurcation trees of periodic motions to chaos
  • Helps readers identify motion complexity and singularity
  • Explains procedures for determining stability, bifurcation and chaos
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eBook 95,19 €
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  • ISBN 978-3-319-42664-8
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Hardcover 119,59 €
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  • ISBN 978-3-319-42663-1
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Softcover 119,59 €
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  • ISBN 978-3-319-82631-8
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About this book

This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems.

About the authors

Dr. Albert C. J. Luo is Professor of Mechanical Engineering at Southern Illinois University in Edwardsville.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 95,19 €
price for Spain (gross)
  • ISBN 978-3-319-42664-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-3-319-42663-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 119,59 €
price for Spain (gross)
  • ISBN 978-3-319-82631-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Periodic Flows to Chaos in Time-delay Systems
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
16
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42664-8
DOI
10.1007/978-3-319-42664-8
Hardcover ISBN
978-3-319-42663-1
Softcover ISBN
978-3-319-82631-8
Series ISSN
2195-9994
Edition Number
1
Number of Pages
X, 198
Number of Illustrations
15 b/w illustrations, 15 illustrations in colour
Topics