\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}The double pendulum model}{1}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}double\_pendulum\_data.m returns parameters.}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}double\_pendulum\_data.m returns parameters.}{2}} \@writefile{toc}{\contentsline {section}{\numberline {2}The system energy}{2}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}double\_pendulum\_energy.m returns the energy}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Simulate the small perturbation problem with Forward Euler}{2}} \@writefile{toc}{\contentsline {section}{\numberline {4}A code to call euler() for the double pendulum}{3}} \@writefile{toc}{\contentsline {section}{\numberline {5}Graphic results for the small perturbation problem}{4}} \@writefile{toc}{\contentsline {section}{\numberline {6}The medium and large perturbation problems}{4}} \@writefile{toc}{\contentsline {section}{\numberline {7}An animation option}{5}} \@writefile{toc}{\contentsline {section}{\numberline {8}REPORT}{5}}