fixed bib

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caes 2017-02-12 22:42:42 -05:00
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2 changed files with 8 additions and 6 deletions

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@ -110,3 +110,4 @@ url = {http://www.engineeringtoolbox.com/air-density-specific-weight-d_600.html}
month=oct # "~28",
publisher={Google Patents},
note={WO Patent App. PCT/GB2004/001,654}
}

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@ -52,12 +52,13 @@ A 2-dimensional phase space is a useful environment in which to identify the cha
An undriven and undamped oscillator will always return to the same point after one period, so a Poincar\'e map sampled using the period corresponding to the oscillator's natural frequency will consist of a single dot. Figure \ref{fig:models_damped_driven} demonstrates a damped oscillator, which exhibits stable critical points where the velocity goes to zero. A driven oscillator's path orbits around these critical points but can be seen to jump between them in an unpredictable way along the position coordinate
\begin{figure}
\hfill
\subfigure[A]{\includegraphics[width=3in]{model_damped_phase.png}}
\hfill
\subfigure[B]{\includegraphics[width=3in]{model_driven_phase.png}}
\hfill
\caption{[A] Model of a damped oscillator in phase space within a single rotation. The critical point is stable. [B] }
\includegraphics[width=6.5in]{model_damped_phase.png}
\caption{Model of a damped oscillator in phase space within a single rotation. The critical point is stable. \cite{CHAOSDYNAMICS}}
\end{figure}
\begin{figure}
\includegraphics[width=6.5in]{model_driven_phase.png}
\caption{Model of a damped oscillator in phase space within a single rotation. The critical point is stable.}
\end{figure}
\subsection{Chaotic Attractor}