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.