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000778132 019__ $$a963932133$$a964327721$$a967094811
000778132 020__ $$a9783319427782$$q(electronic book)
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000778132 1001_ $$aLuo, Albert C. J.
000778132 24510 $$aMemorized Discrete Systems and Time-delay.
000778132 260__ $$aCham :$$bSpringer,$$c2016.
000778132 300__ $$a1 online resource (307 pages).
000778132 336__ $$atext$$btxt$$2rdacontent
000778132 337__ $$acomputer$$bc$$2rdamedia
000778132 338__ $$aonline resource$$bcr$$2rdacarrier
000778132 4901_ $$aNonlinear Systems and Complexity ;$$vv. 17
000778132 504__ $$aReferences3 Discretization of Time-delay Systems; 3.1 Time-delay Systems; 3.2 Basic Discretization Methods; 3.2.1 Forward Euler Method; 3.2.2 Backward Euler Method; 3.2.3 Trapezoidal Rule Discretization; 3.2.4 Midpoint Method; 3.3 Explicit Runge-Kutta Methods; 3.3.1 Runge-Kutta Method of Order 2; 3.3.2 General Explicit Runge-Kutta Methods; 3.3.3 Runge-Kutta Method of Order 3; 3.3.4 Runge-Kutta Method of Order 4; 3.4 Implicit Runge-Kutta Methods; 3.4.1 Polynomial Interpolation; 3.4.2 Implicit Runge-Kutta Methods; 3.4.3 Gauss Method; 3.4.4 Radau Method; 3.4.5 Lobatto Method.
000778132 504__ $$aIncludes bibliographical references and index.
000778132 5050_ $$aPreface; Contents; 1 Memorized Linear Discrete Systems; 1.1 Basic Iterative Solutions; 1.2 Iterative Solutions with Distinct Eigenvalues; 1.3 Iterative Solutions with Multiplicity; 1.4 Stability and Boundary; 1.5 1-D Memorized Linear Discrete Systems; 1.5.1 1-D Linear Discrete Systems Without Memory; 1.5.2 1-D Linear Discrete System with Finite-Step Memory; References; 2 Memorized Nonlinear Discrete Systems; 2.1 Definitions; 2.2 Fixed Points and Stability; 2.3 Bifurcation and Stability Switching; 2.3.1 Stability and Switching; 2.3.2 Bifurcations; 2.3.3 1-D Memorized Nonlinear Discrete Systems.
000778132 5058_ $$a3.4.6 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.
000778132 5058_ $$a5.3 Frequency-Amplitude Characteristics5.4 Numerical Illustrations; Reference; Index.
000778132 506__ $$aAccess limited to authorized users.
000778132 588__ $$aDescription based on print  version record.
000778132 650_0 $$aDiscrete-time systems.
000778132 77608 $$iPrint version:$$aLuo, Albert C.J.$$tMemorized Discrete Systems and Time-delay.$$dCham : Springer International Publishing, ©2016$$z9783319427775
000778132 830_0 $$aNonlinear systems and complexity ;$$vv. 17.
000778132 852__ $$bebk
000778132 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42778-2$$zOnline Access$$91397441.1
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