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Memorized Discrete Systems and Time-delay

Buch | Hardcover
X, 298 Seiten
2016 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-42777-5 (ISBN)

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Memorized Discrete Systems and Time-delay - Albert C. J. Luo
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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.

Professor Albert C.J. Luo is Professor of Mechanical Engineering at the University of Southern Illinois, Edwardsville.

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

"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)

“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)

Erscheinungsdatum
Reihe/Serie Nonlinear Systems and Complexity
Zusatzinfo X, 298 p. 35 illus., 17 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Technik
Schlagworte Bifurcation trees • Complexity • Complex Systems • Discretization of time-delay systems • Econometrics • Engineering • Memorized discrete systems • Nonlinear Dynamics • Nonlinear Time-delay Systems • Periodic motions to chaos • stability and bifurcations • systems biology
ISBN-10 3-319-42777-6 / 3319427776
ISBN-13 978-3-319-42777-5 / 9783319427775
Zustand Neuware
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