Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Poster I
DY 24.39: Poster
Wednesday, March 28, 2007, 16:00–18:00, Poster D
Coherence resonance - a mean field approach — Eckehard Schöll, •Valentin Flunkert, and Philipp Hövel — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin
We study the constructive influence of noise upon a nonlinear dynamic system in terms of a self-consistent mean field approach [1]. Two different types of coherence resonance of noise-induced oscillations are found in systems close to, but below, a sub- or supercritical Hopf bifurcation, respectively [2]. They can be explained analytically by a mean-field approximation of the Hopf normal forms, elucidating the different effect of noise upon the power spectrum near sub- and supercritical bifurcations.
[1] J. Pomplun, A. Amann, and E. Schöll, Europhys. Lett. 71, 366 (2005)
[2] O. V. Ushakov, H. J. W**nsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, Phys. Rev. Lett. 95, 123903 (2005)