Periodic Flows to Chaos in Time-delay Systems

 Previously published in hardcover
Besorgungstitel | Lieferzeit:3-5 Tage I
ISBN-13:
9783319826318
Einband:
Previously published in hardcover
Erscheinungsdatum:
14.06.2018
Seiten:
208
Autor:
Albert C. J. Luo
Gewicht:
322 g
Format:
235x155x11 mm
Sprache:
Englisch
Beschreibung:

Facilitates discovery of analytical solutions of nonlinear time-delay systems
Linear Time-delay Systems.- Nonlinear Time-delay System.- Periodic Flows in Time-delay Systems.- Quasiperiodic Flows in Time-delay Systems.- Time-delay Duffing Oscillator.
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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