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000777243 020__ $$a9783319426648$$q(electronic book)
000777243 020__ $$a3319426648$$q(electronic book)
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000777243 1001_ $$aLuo, Albert C. J.
000777243 24510 $$aPeriodic flows to chaos in time-delay systems /$$cAlbert C.J. Luo.
000777243 260__ $$aSwitzerland :$$bSpringer,$$c2016, ©2017.
000777243 300__ $$a1 online resource.
000777243 336__ $$atext$$btxt$$2rdacontent
000777243 337__ $$acomputer$$bc$$2rdamedia
000777243 338__ $$aonline resource$$bcr$$2rdacarrier
000777243 4901_ $$aNonlinear systems and complexity,$$x2195-9994 ;$$vvolume 16
000777243 504__ $$aIncludes bibliographical references and index.
000777243 5050_ $$aPreface; Contents; 1 Linear Time-Delay Systems and Stability; 1.1 Linear Time-Delay Systems; 1.2 Stability and Boundary; 1.3 Lower-Dimensional Linear Time-Delay Systems; 1.3.1 1-D Linear Time-Delay Systems; 1.3.2 2-D Linear Time-Delay Systems; 1.3.3 3-D Linear Time-Delay Systems; 2 Nonlinear Time-Delay Systems; 2.1 Time-Delay Continuous Systems; 2.2 Equilibriums and Stability; 2.3 Bifurcation and Stability Switching; 2.3.1 Stability and Switching; 2.3.2 Bifurcations; References; 3 Periodic Flows in Time-Delay Systems; 3.1 Autonomous Time-Delay Systems; 3.2 Non-Autonomous Time-Delay Systems.
000777243 5058_ $$a3.3 Time-Delay, Free Vibration Systems3.4 Periodically Forced, Time-Delay Vibration Systems; Reference; 4 Quasi-periodic Flows in Time-Delay Systems; 4.1 Time-Delay Nonlinear Systems; 4.2 Time-Delay Nonlinear Vibration Systems; Reference; 5 Time-Delay Duffing Oscillators; 5.1 Analytical Solutions; 5.2 Period-1 Motions to Chaos; 5.2.1 Frequency-Amplitude Characteristics; 5.2.2 Period-1 to Period-4 Motions; 5.3 Period-3 Motions to Chaos; 5.3.1 Frequency-Amplitude Characteristics; 5.3.2 Period-3 and Period-6 Motions; References; Subject Index.
000777243 506__ $$aAccess limited to authorized users.
000777243 520__ $$aThis book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems. Facilitates discovery of analytical solutions of nonlinear time-delay systems; Illustrates bifurcation trees of periodic motions to chaos; Helps readers identify motion complexity and singularity; Explains procedures for determining stability, bifurcation and chaos.
000777243 650_0 $$aTime delay systems.
000777243 650_0 $$aChaotic behavior in systems.
000777243 77608 $$iPrint version:$$z9783319426631$$z331942663X$$w(OCoLC)952384152
000777243 830_0 $$aNonlinear systems and complexity ;$$vv. 16.
000777243 852__ $$bebk
000777243 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42664-8$$zOnline Access$$91397441.1
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000777243 980__ $$aBIB
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