Luo, Albert C. J.
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 2196-0003 ; . - 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
Dynamics.
Nonlinear theories.
Nonlinear Optics.
System theory.
Bioinformatics.
Econometrics.
Applied Dynamical Systems.
Nonlinear Optics.
Complex Systems.
Computational and Systems Biology.
Econometrics.
TA352-356 QC20.7.N6
515.39
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 2196-0003 ; . - 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
Dynamics.
Nonlinear theories.
Nonlinear Optics.
System theory.
Bioinformatics.
Econometrics.
Applied Dynamical Systems.
Nonlinear Optics.
Complex Systems.
Computational and Systems Biology.
Econometrics.
TA352-356 QC20.7.N6
515.39