349   \begin{lstlisting}

   349   \begin{lstlisting}

   350 >>> from scipy import interpolate

   350 >>> from scipy import interpolate

   351 >>> interpolate.interp1d?

   351 >>> interpolate.interp1d?

   352 >>> x = np.arange(0,2*np.pi,np.pi/4)

   352 >>> x = np.arange(0,2*np.pi,np.pi/4)

   353 >>> y = np.sin(x)

   353 >>> y = np.sin(x)

   356 >>> fl(np.pi/3)

   358 >>> fl(np.pi/3)

   357 >>> fc(np.pi/3)

   359 >>> fc(np.pi/3)

   358   \end{lstlisting}

   360   \end{lstlisting}

   359 \end{frame}

   361 \end{frame}

   360 

   362 

   411   \frametitle{Problems}

   413   \frametitle{Problems}

   412   The Van der Pol oscillator is a type of nonconservative oscillator with nonlinear damping. It evolves in time according to the second order differential equation:

   414   The Van der Pol oscillator is a type of nonconservative oscillator with nonlinear damping. It evolves in time according to the second order differential equation:

   413   \begin{equation*}

   415   \begin{equation*}

   414   \frac{d^2x}{dt^2}+\mu(x^2-1)\frac{dx}{dt}+x= 0

   416   \frac{d^2x}{dt^2}+\mu(x^2-1)\frac{dx}{dt}+x= 0

   415   \end{equation*}

   417   \end{equation*}

   417 \end{frame}

   420 \end{frame}

   418 

   421 

   419 

   422 

   420 \end{document}

   423 \end{document}

   421 

   424