Overview
- 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
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 17)
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Table of contents (5 chapters)
Keywords
About this book
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.Reviews
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Memorized Discrete Systems and Time-delay
Authors: Albert C. J. Luo
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-3-319-42778-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Hardcover ISBN: 978-3-319-42777-5Published: 28 November 2016
Softcover ISBN: 978-3-319-82661-5Published: 28 April 2018
eBook ISBN: 978-3-319-42778-2Published: 18 November 2016
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: X, 298
Number of Illustrations: 18 b/w illustrations, 17 illustrations in colour
Topics: Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Complex Systems, Systems Biology, Econometrics