Control of Complex Nonlinear Systems with Delay
Author | : Philipp Hövel |
Publisher | : Springer Science & Business Media |
Total Pages | : 261 |
Release | : 2010-09-27 |
ISBN-10 | : 9783642141102 |
ISBN-13 | : 3642141102 |
Rating | : 4/5 (02 Downloads) |
Download or read book Control of Complex Nonlinear Systems with Delay written by Philipp Hövel and published by Springer Science & Business Media. This book was released on 2010-09-27 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.