Periodic Flows to Chaos in Time-delay Systems
Seiten
2016
|
1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-42663-1 (ISBN)
Springer International Publishing (Verlag)
978-3-319-42663-1 (ISBN)
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.
Dr. Albert C. J. Luo is Professor of Mechanical Engineering at Southern Illinois University in Edwardsville.
Linear Time-delay Systems.- Nonlinear Time-delay System.- Periodic Flows in Time-delay Systems.- Quasiperiodic Flows in Time-delay Systems.- Time-delay Duffing Oscillator.
| Erscheinungsdatum | 19.10.2016 |
|---|---|
| Reihe/Serie | Nonlinear Systems and Complexity |
| Zusatzinfo | X, 198 p. 30 illus., 15 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Optik | |
| Technik | |
| Schlagworte | Analytical solutions in time delay systems • Bifurcation trees • Complexity • Complex Systems • Engineering • Generalized harmonic balance method • Nonlinear Dynamics • Periodic motions to chaos • Quasi-periodic motions • stability and bifurcations • Time-delay Systems |
| ISBN-10 | 3-319-42663-X / 331942663X |
| ISBN-13 | 978-3-319-42663-1 / 9783319426631 |
| Zustand | Neuware |
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