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Memorized Discrete Systems and Time-delay: Nonlinear Systems and Complexity, cartea 17

Autor Albert C. J. Luo
en Limba Engleză Hardback – 28 noi 2016
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.
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Specificații

ISBN-13: 9783319427775
ISBN-10: 3319427776
Pagini: 308
Ilustrații: X, 298 p. 35 illus., 17 illus. in color.
Dimensiuni: 160 x 241 x 23 mm
Greutate: 0.58 kg
Ediția:1st edition 2017
Editura: Springer
Colecția Nonlinear Systems and Complexity
Seria Nonlinear Systems and Complexity

Locul publicării:Cham, Switzerland

Cuprins

Memorized Linear Discrete Systems.- Memorized Nonlinear Discrete Systems.- Discretization of Time-delay Systems.- Periodic Flows in Time-delay Systems.- Time-delay Duffing Oscillator.

Recenzii

“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)

Notă biografică

This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.

Textul de pe ultima copertă

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.

Caracteristici

Introduces memorized discrete systems (MDS) Provides a systematic method for MDS and applications to time-delay systems Discusses MDS in connection to periodic motions to chaos Includes supplementary material: sn.pub/extras