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.

“This monograph is devoted to the study of discrete dynamical systems with memory. It gives a comprehensive presentation of methods that have been developed for time-delay systems which can be discretized into the memorized discrete dynamical systems.” (Anatoly Martynyuk, zbMATH 1408.93001, 2019)

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