TY - BOOK ID - 19490511 TI - Dynamics of nonlinear time-delay systems AU - Lakshmanan, M. AU - Senthilkumar, D. V. PY - 2010 SN - 3642149375 9786613077479 3642149383 1283077477 PB - Berlin : Springer-Verlag, DB - UniCat KW - Nonlinear systems. KW - Delay lines. KW - Artificial delay lines KW - Delay circuits KW - Delay devices KW - Time-delay networks KW - Systems, Nonlinear KW - Physics. KW - System theory. KW - Statistical physics. KW - Applied mathematics. KW - Engineering mathematics. KW - Vibration. KW - Dynamical systems. KW - Dynamics. KW - Electronic circuits. KW - Nonlinear Dynamics. KW - Vibration, Dynamical Systems, Control. KW - Systems Theory, Control. KW - Appl.Mathematics/Computational Methods of Engineering. KW - Complex Networks. KW - Circuits and Systems. KW - Automatic control KW - Automatic timers KW - Electric waves KW - Electronics KW - Waves KW - System theory KW - Systems theory. KW - Systems engineering. KW - Applications of Nonlinear Dynamics and Chaos Theory. KW - Mathematical and Computational Engineering. KW - Applications of Graph Theory and Complex Networks. KW - Engineering systems KW - System engineering KW - Engineering KW - Industrial engineering KW - System analysis KW - Engineering analysis KW - Mathematical analysis KW - Cycles KW - Mechanics KW - Sound KW - Design and construction KW - Mathematics KW - Electron-tube circuits KW - Electric circuits KW - Electron tubes KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Systems, Theory of KW - Systems science KW - Science KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Physics KW - Statics KW - Mathematical statistics KW - Philosophy KW - Statistical methods UR - https://www.unicat.be/uniCat?func=search&query=sysid:19490511 AB - Synchronization 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. ER -