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Memorized Discrete Systems and Time-delay.

Author: Albert C J Luo
Publisher: Cham : Springer, 2016.
Series: Nonlinear systems and complexity, v. 17.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

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  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Luo, Albert C.J.
Memorized Discrete Systems and Time-delay.
Cham : Springer International Publishing, ©2016
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Albert C J Luo
ISBN: 9783319427782 3319427784
OCLC Number: 964404574
Description: 1 online resource (307 pages).
Contents: Preface; Contents; 1 Memorized Linear Discrete Systems; 1.1 Basic Iterative Solutions; 1.2 Iterative Solutions with Distinct Eigenvalues; 1.3 Iterative Solutions with Multiplicity; 1.4 Stability and Boundary; 1.5 1-D Memorized Linear Discrete Systems; 1.5.1 1-D Linear Discrete Systems Without Memory; 1.5.2 1-D Linear Discrete System with Finite-Step Memory; References; 2 Memorized Nonlinear Discrete Systems; 2.1 Definitions; 2.2 Fixed Points and Stability; 2.3 Bifurcation and Stability Switching; 2.3.1 Stability and Switching; 2.3.2 Bifurcations; 2.3.3 1-D Memorized Nonlinear Discrete Systems. 3.4.6 Diagonally Implicit RK Methods3.5 Multistep Methods; 3.5.1 Adams-Bashforth Methods; 3.5.2 Adams-Moulton Methods; 3.5.3 Explicit Adams Methods; 3.5.4 Implicit Adams Methods; 3.5.5 General Forms; References; 4 Periodic Flows in Time-delay Systems; 4.1 Interpolation Method; 4.2 Continuous Integration Method; 4.3 Discrete Fourier Series; References; 5 Time-Delayed Duffing Oscillator; 5.1 A Semi-analytical Method; 5.1.1 Discretization; 5.1.2 Period-1 Motions; 5.1.3 Period-m Motions; 5.1.4 Finite Discrete Fourier Series; 5.2 Bifurcation Trees of Periodic Motions. 5.3 Frequency-Amplitude Characteristics5.4 Numerical Illustrations; Reference; Index.
Series Title: Nonlinear systems and complexity, v. 17.

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