Periodic Flows to Chaos in Time-delay Systems

Download or read book Periodic Flows to Chaos in Time-delay Systems written by Albert C. J. Luo and published by Springer. This book was released on 2016-09-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.