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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