Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 16)
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Table of contents (5 chapters)
Keywords
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.
Authors and Affiliations
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Bibliographic Information
Book Title: Periodic Flows to Chaos in Time-delay Systems
Authors: Albert C. J. Luo
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-3-319-42664-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Hardcover ISBN: 978-3-319-42663-1Published: 29 September 2016
Softcover ISBN: 978-3-319-82631-8Published: 14 June 2018
eBook ISBN: 978-3-319-42664-8Published: 17 September 2016
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: X, 198
Number of Illustrations: 15 b/w illustrations, 15 illustrations in colour
Topics: Complexity, Complex Systems, Applications of Nonlinear Dynamics and Chaos Theory