Periodic Flows to Chaos in Time-delay Systems

By:

Albert C.J. Luo

Format:

Paperback / softback

Series:

Nonlinear Systems and Complexity

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Description

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.

Author Biography:

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

Release date NZ

June 14th, 2018

Author

Albert C.J. Luo

Series

Nonlinear Systems and Complexity

Pages

198

Edition

Softcover reprint of the original 1st ed. 2017

Audience

Professional & Vocational

Illustrations

15 Illustrations, color; 15 Illustrations, black and white; X, 198 p. 30 illus., 15 illus. in color.

ISBN-13

9783319826318

Product ID

28329843

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