By Albert C. J. Luo
This ebook for the 1st time examines periodic motions to chaos in time-delay structures, which exist largely in engineering. for a very long time, the steadiness of time-delay platforms at equilibrium has been of serious curiosity from the Lyapunov theory-based equipment, the place one can't in achieving the proper effects. therefore, time-delay discretization in time-delay structures used to be used for the steadiness of those platforms. during this quantity, Dr. Luo provides a correct process in line with the finite Fourier sequence to figure out periodic motions in nonlinear time-delay structures. the soundness and bifurcation of periodic motions are decided by means of the time-delayed procedure of coefficients within the Fourier sequence and the strategy for nonlinear time-delay platforms is akin to the Laplace transformation process for linear time-delay systems.
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Periodic Flows to Chaos in Time-delay Systems (Nonlinear Systems and Complexity) by Albert C. J. Luo