Memorized Discrete Systems and Time-delay [electronic resource] /
by Albert C. J. Luo.
- 1st ed. 2017.
- X, 298 p. 35 illus., 17 illus. in color. online resource.
- Nonlinear Systems and Complexity, 17 2195-9994 ; .
- Nonlinear Systems and Complexity, 17 .
Memorized Linear Discrete Systems -- Memorized Nonlinear Discrete Systems -- Discretization of Time-delay Systems -- Periodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator.
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.
9783319427782
10.1007/978-3-319-42778-2 doi
Computational complexity. Statistical physics. System theory. Systems biology. Econometrics. Complexity. Applications of Nonlinear Dynamics and Chaos Theory. Complex Systems. Systems Biology. Econometrics.