Periodic Flows to Chaos in Time-delay Systems

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106,99 

Nonlinear Systems and Complexity 16

ISBN: 331982631X
ISBN 13: 9783319826318
Autor: Luo, Albert C J
Verlag: Springer Verlag GmbH
Umfang: x, 198 S., 15 s/w Illustr., 15 farbige Illustr., 198 p. 30 illus., 15 illus. in color.
Erscheinungsdatum: 14.06.2018
Auflage: 1/2017
Produktform: Kartoniert
Einband: Kartoniert

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. Facilitates discovery of analytical solutions of nonlinear timedelay systems; Illustrates bifurcation trees of periodic motions to chaos; Helps readers identify motion complexity and singularity; Explains procedures for determining stability, bifurcation and chaos.

Artikelnummer: 5447832 Kategorie:

Beschreibung

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.

Autorenporträt

Dr. Albert C. J. Luo is Professor of Mechanical Engineering at Southern Illinois University in Edwardsville.

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E-Mail: juergen.hartmann@springer.com

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