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Focusing on the transition from periodic motions to chaos in time-delay systems, this book explores their stability using advanced methods. It highlights the limitations of traditional Lyapunov theory and introduces a novel approach utilizing finite Fourier series to analyze nonlinear time-delay systems. Dr. Luo's work establishes a connection between the stability and bifurcation of these systems and the coefficients in the Fourier series, presenting an equivalent method to the Laplace transformation for linear systems.
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Periodic Flows to Chaos in Time-delay Systems, Albert C. J. Luo
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- 2018
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