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008 110103s2011 gw | s |||| 0|eng d
020 _a9783642149382
_9978-3-642-14938-2
040 _cMX-MeUAM
050 4 _aQC174.7-175.36
082 0 4 _a621
_223
100 1 _aLakshmanan, Muthusamy.
_eauthor.
245 1 0 _aDynamics of Nonlinear Time-Delay Systems
_h[recurso electrónico] /
_cby Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2011.
300 _aXVII, 313 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Synergetics,
_x0172-7389
505 0 _aDelay Differential Equations -- Linear Stability and Bifurcation Analysis -- Bifurcation and Chaos in Time-delayed Piecewise Linear -- A Few Other Interesting Chaotic Delay Differential Equations -- Implications of Delay Feebdack: Amplitude Death and Other Effects -- Recent Developments on Delay Feedback/Coupling: Complex -- Complete Synchronization in Coupled Time-delay Systems -- Transition from Anticipatory to Lag Synchronization via Complete -- Intermittency Transition to Generalized Snychronization -- Transition from Phase to Generalized Synchronization -- DTM Induced Oscillating Synchronization -- Exact Solutions of Certain Time Delay Systems: The Car-following Models -- A Computing Lyapunov Exponents for Time-delay systems -- B A Brief Introduction to Synchronization in Chaotic Dynamical Systems -- C Recurrence Analysis -- References -- Glossary -- Index.
520 _aSynchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.
650 0 _aPhysics.
650 0 _aSystems theory.
650 0 _aEngineering mathematics.
650 0 _aVibration.
650 0 _aSystems engineering.
650 1 4 _aPhysics.
650 2 4 _aNonlinear Dynamics.
650 2 4 _aVibration, Dynamical Systems, Control.
650 2 4 _aSystems Theory, Control.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aComplex Networks.
650 2 4 _aCircuits and Systems.
700 1 _aSenthilkumar, Dharmapuri Vijayan.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642149375
830 0 _aSpringer Series in Synergetics,
_x0172-7389
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-14938-2
596 _a19
942 _cLIBRO_ELEC
999 _c202780
_d202780