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Control of Complex Nonlinear Systems with Delay

Name: Control of Complex Nonlinear Systems with Delay
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01656161
Price: 107.29 EUR
Availability: InStock
Author: Philipp Hövel
ISBN: 9783642141096

Philipp Hövel

Language

English

Book Hardback

Libristo code: 01656161

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, September 2010

This thesis deals with delay effects in nonlinear systems, which are ubiquitous in various fields of... Full description

Libristo code: 01656161

263 b

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This thesis deals with 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 due to processing times or 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, delay 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.