Memorized Discrete Systems And Time-delay (nonlinear Systems And Complexity)

This book examines discrete dynamical systems with memory―nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system. Front Matter....Pages i-x Memorized Linear Discrete Systems....Pages 1-50 Memorized Nonlinear Discrete Systems....Pages 51-114 Discretization of Time-delay Systems....Pages 115-220 Periodic Flows in Time-delay Systems....Pages 221-270 Time-Delayed Duffing Oscillator....Pages 271-296 Back Matter....Pages 297-298