From a6ae2e202da52fb31cb5d42272c694dff3934859 Mon Sep 17 00:00:00 2001 From: caes Date: Sun, 12 Feb 2017 22:42:42 -0500 Subject: [PATCH] fixed bib --- adv_lab.bib | 1 + chaos/report/report.tex | 13 +++++++------ 2 files changed, 8 insertions(+), 6 deletions(-) diff --git a/adv_lab.bib b/adv_lab.bib index e6dbc82..3dc7139 100644 --- a/adv_lab.bib +++ b/adv_lab.bib @@ -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} +} \ No newline at end of file diff --git a/chaos/report/report.tex b/chaos/report/report.tex index 00a4c07..fa1459c 100644 --- a/chaos/report/report.tex +++ b/chaos/report/report.tex @@ -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}