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Control of Complex Nonlinear Systems with Delay

Philipp Hövel (Autor)

Buch | Hardcover

XVI, 253 Seiten

2010 | 2011
Springer Berlin (Verlag)
978-3-642-14109-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	30.9.2010
Reihe/Serie	Springer Theses
Zusatzinfo	XVI, 253 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	541 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Control in complex systems • Feedback and stabilization • Nichtlineares System • Nichtlineare Systeme • Nonlinear Dynamics • Synchronisation in nonlinear systems • Time delayed feedback
ISBN-10	3-642-14109-9 / 3642141099
ISBN-13	978-3-642-14109-6 / 9783642141096
Zustand	Neuware