Periodic Flows to Chaos in Time-delay Systems
Luo, Albert C. J.
Produktnummer:
182b3fd2c8e8d747b991dc9d467cb5d898
Autor: | Luo, Albert C. J. |
---|---|
Themengebiete: | Analytical solutions in time delay systems Bifurcation trees Generalized harmonic balance method Periodic motions to chaos Quasi-periodic motions Stability and bifurcations Time-delay systems complexity |
Veröffentlichungsdatum: | 14.06.2018 |
EAN: | 9783319826318 |
Sprache: | Englisch |
Seitenzahl: | 198 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "Periodic Flows to Chaos in Time-delay Systems"
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.

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