Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics I
DY 10.3: Vortrag
Dienstag, 23. März 2010, 14:30–14:45, H46
Pulsed time delayed feedback and the anticipation of chaotic dynamics — •Thomas Jüngling1, Hartmut Benner1, and Wolfram Just2 — 1Institute for Condensed Matter Physics, TU Darmstadt, Germany — 2School of Mathematical Sciences, Queen Mary / University of London, United Kingdom
Feedback with time delay is widely known for its ability to induce an infinite number of dynamical degrees of freedom. Such an aspect normally prevents one from a deeper understanding of the relevant phase space structures. We present an example of a system with a pulsed delay term such that an infinite number of delay modes freezes out, with the dynamics taking place on a finite-dimensional subspace. Moreover, such a generic mechanism can be used to identify types of modulated time-delayed feedbacks which are able to induce superstable behaviour. We apply this concept for the purpose of anticipating chaotic synchronisation. The stability of synchronised states can be improved considerably by pulsed feedback. The validity of the theoretical considerations and their relevance for applications is demonstrated by experimental results as well.