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.
Autorentext
Professor Albert C.J. Luo is Professor of Mechanical Engineering at the University of Southern Illinois, Edwardsville.
Klappentext
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.
Inhalt
Memorized Linear Discrete Systems.- Memorized Nonlinear Discrete Systems.- Discretization of Time-delay Systems.- Periodic Flows in Time-delay Systems.- Time-delay Duffing Oscillator.