By Albert C. J. Luo

This e-book for the 1st time examines periodic motions to chaos in time-delay platforms, which exist greatly in engineering. for a very long time, the steadiness of time-delay platforms 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 soundness of those structures. during this quantity, Dr. Luo provides a correct technique in keeping with the finite Fourier sequence to figure out periodic motions in nonlinear time-delay platforms. the soundness and bifurcation of periodic motions are decided by way of the time-delayed process of coefficients within the Fourier sequence and the tactic for nonlinear time-delay platforms is corresponding 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

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