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Periodic Flows to Chaos in Time-Delay Systems
Paperback
Series: Nonlinear Systems and Complexity, Book 16
Technology & EngineeringGeneral MathematicsGeneral Science
ISBN13: 9783319826318
Publisher: Springer Nature
Published: Jun 14 2018
Pages: 198
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
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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