This book examines discrete dynamical systems with memorynonlinear 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.

Introduces memorized discrete systems (MDS) Provides a systematic method for MDS and applications to time-delay systems Discusses MDS in connection to periodic motions to chaos Includes supplementary material: sn.pub/extras

Autorentext
Professor Albert C.J. Luo is Professor of Mechanical Engineering at the University of Southern Illinois, Edwardsville.

Inhalt

Memorized Linear Discrete Systems.- Memorized Nonlinear Discrete Systems.- Discretization of Time-delay Systems.- Periodic Flows in Time-delay Systems.- Time-delay Duffing Oscillator.