TitleDynamics of Nonlinear Time-Delay Systems
Author(s)Lakshmanan, Muthusamy;Senthilkumar, Dharmapuri Vijayan
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2011.
DescriptionXVII, 313 p : online resource
Abstract NoteSynchronization 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
ISBN,Price9783642149382
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. Applications of Nonlinear Dynamics and Chaos Theory 3. APPLIED MATHEMATICS 4. CIRCUITS AND SYSTEMS 5. DYNAMICAL SYSTEMS 6. DYNAMICS 7. EBOOK 8. EBOOK - SPRINGER 9. ELECTRONIC CIRCUITS 10. ENGINEERING MATHEMATICS 11. Mathematical and Computational Engineering 12. PHYSICS 13. STATISTICAL PHYSICS 14. SYSTEM THEORY 15. Systems Theory, Control 16. VIBRATION 17. Vibration, Dynamical Systems, Control
Item TypeeBook
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