Control of Complex Nonlinear Systems With Delay: Doctoral Thesis Accepted by Technische Universitat Berlin, Germany

Hovel, Philipp

ISBN 10: 3642141099 / ISBN 13: 9783642141096

Published by Springer Verlag, 2010

About this Item

253 pages. 9.25x6.00x0.75 inches. In Stock.

Seller Inventory # x-3642141099

Bibliographic Details

• Title: Control of Complex Nonlinear Systems With Delay: Doctoral Thesis Accepted by Technische Universitat Berlin, Germany
• Publisher: Springer Verlag
• Publication Date: 2010
• Language: English
• ISBN 10: 3642141099
• ISBN 13: 9783642141096
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.82 kilograms

About this title

Synopsis

This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems.