Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 81: Nonlinear Dynamics, Synchronization, Chaos II
DY 81.3: Talk
Friday, March 16, 2018, 10:30–10:45, BH-N 243
Control of multistability of driven nonlinear oscillators by two-frequency forcing — •Ferenc Hegedus1, Werner Lauterborn2, Ulrich Parlitz3, and Robert Mettin2 — 1Department of Hydrodynamic Systems, Budapest University of Technology and Economics, Budapest, Hungary — 2Drittes Physikalisches Institut, Georg-August-Universität Göttingen, Göttingen, Germany — 3Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization and Institute for Nonlinear Dynamics, Georg-August-Universität Göttingen, Göttingen, Germany
One of the main challenges of applied nonlinear science is the non-feedback control of multistability, that is, how to force a system to settle down onto a pre-selected attractor. In the present study, a novel approach for solving this control task is presented for sinusoidally driven nonlinear oscillators, which is suitable to target attractors directly (only with limited constraints). The method is based on the observation, that, for example, a period-2 attractor can be continuously transformed into a period-3 orbit (and vice versa) by applying a second, sinusoidal component to the driving (with suitable tuning of the excitation amplitudes). The pair of commensurate frequencies used for dual-frequency driving has to be properly chosen according to the periods of the transformed orbits.