Control of Complex Nonlinear Systems with Delay

✍ Scribed by Philipp Hövel (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Tongue: English
Leaves: 261
Series: Springer Theses
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

✦ Table of Contents

Front Matter....Pages i-xvi
Introduction....Pages 1-9
Time-Delayed Feedback Control....Pages 11-41
Control of Steady States....Pages 43-103
Refuting the Odd Number Limitation Theorem....Pages 105-147
Control of Neutral Delay-Differential Equations....Pages 149-174
Neural Systems....Pages 175-243
Summary and Outlook....Pages 245-247
Back Matter....Pages 249-253

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity

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