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DY: Dynamik und Statistische Physik
DY 31: Nonlinear Stochastic Systems I
DY 31.3: Vortrag
Montag, 7. März 2005, 11:00–11:15, TU H2032
Response of stochastic and chaotic systems to weak sinusodial and retangular modulation — •Thomas Stemler1, Johannes Werner1, Andrzej Krawiecki2, and Hartmut Benner1 — 1Institut für Festkörperphysik, TU-Darmstadt — 2Faculty of Physics, Warsaw University of Technology, Poland
We investigate stochastic resonance in a Schmitt trigger driven by white Gaussian noise and a circuit showing chaos-chaos intermittency. In the chaotic circuit at some critical control parameter Rc a merging crisis occurs. For higher control parameter values R>Rc the system jumps intermittently between two dynamical states. The time series containing only state information filtered from the output signal of this circuit has a residence time distribution comparable to that of the stochastically driven Schmitt trigger. The mean value of this distribution can be changed by variation of the control parameter R like the Kramers time by variation of the noise intensity D. We focus on the question how the stochastic resonance behaviour of both systems is influenced by the kind of weak modulation applied. Therefore we test two different typs of modulation, a sinusodial and a retangular one and analyse the cross-correlation function between the response of the system and the drive. In addition the measured experimental data will be compared with approximated cross-correlations derived from linear response theory.