Buch, Englisch, 253 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 626 g
Reihe: Springer Theses
Buch, Englisch, 253 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 626 g
Reihe: Springer Theses
ISBN: 978-3-642-14109-6
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
Weitere Infos & Material
Conclusion. Abstract. Introduction. Time-Delayed Feedback Control.- Control of Steady States.- Refuting the Odd Number Limitation Theorem.- Control of Neutral Delay-Differential Equations.- Neural Systems.- Summary and Outlook.- List of Figures.- List of Tables.- Bibliography.- Acknowledgements- Index.
