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020 _a3319426648
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020 _a9783319426648
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020 _z9783319426631
035 _a(OCoLC)958864829
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050 4 _aTJ216
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100 1 _aLuo, Albert C. J.
_998014
245 1 0 _aPeriodic flows to chaos in time-delay systems
_cAlbert C.J. Luo.
264 1 _aSwitzerland
_bSpringer
300 _a1 recurso en línea
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
490 0 _aNonlinear systems and complexity
_x2195-9994
_vvolume 16
500 _aSpringerLink
_bSpringer Engineering eBooks 2017 English+International
504 _aIncluye referencias bibliográficas e índice
505 0 _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.
505 8 _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.
520 3 _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.
650 7 _aComportamiento caótico en sistemas
_2embne
_0(OCoLC)fst00852171
_0
_9152776
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-3-319-42664-8
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988 _aEBOOK, asignarmaterias, EBSPRINGER_2017A
998 _b02/2018
_dz
_e-
_zSI
999 _c94585
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