Algorithms for the Control of Low Dimensional Chaos in the presence of System Parameter Drift

ORAL

Abstract

The chaotic formation of Taylor-Vortex pairs in Modified Taylor- Couette flow with hourglass geometry may be controlled by the application of Recursive Proportional Feedback algorithm\footnote{Rollins \textit{et al}, Phys. Rev. E \textbf{47}, R780 (1993).}$^{,}$\footnote{Wiener \textit{et al}, Phys. Rev. Lett. \textbf{83}, 2340 (1999).}. We consider other algorithms that might be effective in the same context. We continue our studies of their effectiveness. We present numerical simulations and analysis to determine the stability and robustness of these new algorithms as the parameters that define the system drift.

Authors

  • Thomas Olsen

    Lewis \& Clark College, Portland, OR

  • Kjell Schroder

    Lewis \& Clark College, Portland, OR

  • Katherine Carriker

    Pacific University, Forest Grove, OR

  • Bonita Squires

    Pacific University, Forest Grove, OR

  • Kara Yedinak

    Pacific University, Forest Grove, OR

  • Richard Wiener

    Pacific University, Forest Grove, OR