Control of Complex Nonlinear Systems with Delay

Philipp Hövel

ISBN 10: 3662506556 / ISBN 13: 9783662506554

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2016, 2016

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 272 pp. Englisch.

Seller Inventory # 9783662506554

Bibliographic Details

• Title: Control of Complex Nonlinear Systems with Delay
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2016
• Publication Date: 2016
• Language: English
• ISBN 10: 3662506556
• ISBN 13: 9783662506554
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 14D millimeters 235 millimeters width by 155 millimeters height by 14 millimeters depth
• Weight: 467 grams

About this title

Synopsis

This thesis deals with delay effects in nonlinear systems, which feature in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. It covers both the instabilities arising from time delay and their suppression.

From the Back Cover

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.