Control of the Damped, Driven Pendulum, in both Numerical Models and Physical Apparatus to develop algorithms appropriate to the control chaotic formation of Taylor Vortex Pairs in Modified Taylor-Couette Flow

Chaos has been observed in the formation of Taylor Vortex pairs in Modified Taylor Couette flow with hourglass geometry.\footnote{Wiener \textit{et al}, Phys. Rev. E \textbf{55}, 5489 (1997).} Control of chaos has been demonstrated in this system employing the RPF 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).} Seeking alternative algorithms, we are implementing the OGY\footnote{E. Ott, C. Grebogi, \& J. A. Yorke, Phys. Rev. Lett. \textbf{64}, 1196 (1990).} algorithm in a numerical model\footnote{G. L. Baker, Am. J. Phys. \textbf{63}, 832 (1995).} of a damped driven mechanical pendulum and a physical apparatus.\footnote{J. A. Blackburn \textit{et al}, Rev. Sci. Instr. \textbf{60}, 422 (1989).} We report on both and future plans for the Modified Taylor-Couette system.