Periodic Flows to Chaos in Time-delay Systems

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Focusing on the intricate relationship between periodic motions and chaos in time-delay systems, this book introduces a novel approach using finite Fourier series to analyze nonlinear dynamics. Dr. Luo addresses the limitations of traditional Lyapunov theory in achieving stability at equilibrium and explores time-delay discretization for enhancing system stability. By establishing connections between Fourier coefficients and system behavior, the work offers insights into the stability and bifurcation of periodic motions, paralleling methods used in linear time-delay systems.