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.

*Supported by Research Corporation, the Rogers Science Research Program, and NSF DMR-0241814 \& DMR-0241890

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