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Phys. Rev. Lett. 77, 3779–3782 (1996)

Nonlinear Control of Remote Unstable States in a Liquid Bridge Convection Experiment

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Valery Petrov, Michael F. Schatz, Kurt A. Muehlner, Stephen J. VanHook, W. D. McCormick, J. B. Swift, and Harry L. Swinney
Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712

Received 31 July 1996; published in the issue dated 28 October 1996

We demonstrate the stabilization of unstable periodic orbits whose trajectories in phase space are distant from the unperturbed dynamics in a convective flow experiment. A model independent, nonlinear control algorithm uses temperature measurements near the free surface of a convecting liquid bridge to compute control perturbations which are applied by a thermoelectric element. The algorithm employs a time series reconstruction of a nonlinear control surface to alter the system dynamics.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.3779
DOI:
10.1103/PhysRevLett.77.3779
PACS:
05.45.+b, 47.20.Dr, 47.20.Ky, 47.54.+r