Memorized Discrete Systems and Time-delay.
Luo, Albert C. J.
2016
QA402
Available Online

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Title Memorized Discrete Systems and Time-delay.
Author Luo, Albert C. J.
ISBN 9783319427782 (electronic book)
3319427784 (electronic book)
9783319427775
3319427776
Publication Details Cham : Springer, 2016.
Language English
Description 1 online resource (307 pages).
Call Number QA402
Dewey Decimal Classification 003/.83
620
Bibliography, etc. Note References3 Discretization of Time-delay Systems; 3.1 Time-delay Systems; 3.2 Basic Discretization Methods; 3.2.1 Forward Euler Method; 3.2.2 Backward Euler Method; 3.2.3 Trapezoidal Rule Discretization; 3.2.4 Midpoint Method; 3.3 Explicit Runge-Kutta Methods; 3.3.1 Runge-Kutta Method of Order 2; 3.3.2 General Explicit Runge-Kutta Methods; 3.3.3 Runge-Kutta Method of Order 3; 3.3.4 Runge-Kutta Method of Order 4; 3.4 Implicit Runge-Kutta Methods; 3.4.1 Polynomial Interpolation; 3.4.2 Implicit Runge-Kutta Methods; 3.4.3 Gauss Method; 3.4.4 Radau Method; 3.4.5 Lobatto Method.
Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Series Nonlinear systems and complexity ; v. 17.
Available in Other Form Memorized Discrete Systems and Time-delay.
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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.

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