- Contains fundamental new results on the controllability of nonlinear dynamics by time-delayed feedback
- Demonstrates potentially important applications in physics and medicine
- Nominated by the Technical University of Berlin as an outstanding contribution to the field
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- About this book
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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 (7 chapters)
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Introduction
Pages 1-9
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Time-Delayed Feedback Control
Pages 11-41
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Control of Steady States
Pages 43-103
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Refuting the Odd Number Limitation Theorem
Pages 105-147
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Control of Neutral Delay-Differential Equations
Pages 149-174
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Table of contents (7 chapters)
- Download Sample pages 2 PDF (597.1 KB)
- Download Table of contents PDF (54.4 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Control of Complex Nonlinear Systems with Delay
- Authors
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- Philipp Hövel
- Series Title
- Springer Theses
- Copyright
- 2010
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag GmbH Berlin Heidelberg
- eBook ISBN
- 978-3-642-14110-2
- DOI
- 10.1007/978-3-642-14110-2
- Hardcover ISBN
- 978-3-642-14109-6
- Softcover ISBN
- 978-3-662-50655-4
- Series ISSN
- 2190-5053
- Edition Number
- 1
- Number of Pages
- XVI, 253
- Topics
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