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010   $a3-319-42664-8
024 7 $a10.1007/978-3-319-42664-8
035   $a(CKB)3710000000862091
035   $a(DE-He213)978-3-319-42664-8
035   $a(MiAaPQ)EBC4691366
035   $a(PPN)195512383
035   $a(EXLCZ)993710000000862091
100   $a20160917d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aPeriodic Flows to Chaos in Time-delay Systems /$fby Albert C. J. Luo
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (X, 198 p. 30 illus., 15 illus. in color.) 
225 1 $aNonlinear Systems and Complexity,$x2195-9994 ;$v16
311   $a3-319-42663-X 
320   $aIncludes bibliographical references and index.
327   $aLinear Time-delay Systems -- Nonlinear Time-delay System -- Periodic Flows in Time-delay Systems -- Quasiperiodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator.
330   $aThis book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems. Facilitates discovery of analytical solutions of nonlinear time-delay systems; Illustrates bifurcation trees of periodic motions to chaos; Helps readers identify motion complexity and singularity; Explains procedures for determining stability, bifurcation and chaos.
410  0$aNonlinear Systems and Complexity,$x2195-9994 ;$v16
606   $aComputational complexity
606   $aSystem theory
606   $aStatistical physics
606   $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
615  0$aComputational complexity.
615  0$aSystem theory.
615  0$aStatistical physics.
615 14$aComplexity.
615 24$aComplex Systems.
615 24$aApplications of Nonlinear Dynamics and Chaos Theory.
676   $a003.857
700   $aLuo$b Albert C. J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720985
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254175103321
996   $aPeriodic Flows to Chaos in Time-delay Systems$92262076
997   $aUNINA