Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Posters II
DY 30.27: Poster
Thursday, March 25, 2010, 16:00–18:00, Poster C
Stability of delay-coupled Stuart-Landau oscillators — Bernold Fiedler1, Valentin Flunkert2, •Philipp Hövel2, and Eckehard Schöll2 — 1Institut für Mathematik I, Freie Universität Berlin, Arnimallee 2-6, D-14195 Berlin, Germany — 2Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany
We study diffusively coupled Stuart-Landau oscillators (Hopf normal forms). By introducing a noninvasive delay coupling we are able to stabilize the inherently unstable anti-phase orbits. For the super- and subcritical case we state a condition on the oscillator’s nonlinearity which is necessary and sufficient to find coupling parameters for successful stabilization. We prove these conditions and review previous results on the stabilization of odd-number orbits by time-delayed feedback. Finally, we illustrate the results with numerical simulations.