By Albert C. J. Luo

This publication for the 1st time examines periodic motions to chaos in time-delay structures, which exist broadly in engineering. for a very long time, the soundness of time-delay structures at equilibrium has been of significant curiosity from the Lyapunov theory-based equipment, the place one can't in achieving the fitting effects. hence, time-delay discretization in time-delay platforms was once used for the steadiness of those platforms. during this quantity, Dr. Luo offers a correct process according to the finite Fourier sequence to figure out periodic motions in nonlinear time-delay structures. the soundness and bifurcation of periodic motions are made up our minds through the time-delayed approach of coefficients within the Fourier sequence and the tactic for nonlinear time-delay platforms is similar to the Laplace transformation technique for linear time-delay systems.

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