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====== Differences ====== This shows you the differences between two versions of the page.

--- gibson:teaching:spring-2016:math445:lab11 [2016/04/26 12:27]
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+++ gibson:teaching:spring-2016:math445:lab11 [2016/04/26 12:42] (current)
vining
@@ Line 125: / Line 125: @@
 \end{eqnarray*}
-Use parameter values $g=9.8, \ell=1$, $m=1$, and $\alpha = 1$. For the time series plots, initiate the pendulum with $x_1 = \theta=0$ and $x_2 = d\theta/dt = 2$. For the phase portraits, show the range $8 \leq \theta \leq 8$ on the horizontal axis and $-10 \leq d\theta/dt \leq 10$ on the vertical. On top of the quiver plots, show trajectories with initial conditions $\theta=0$ and a variety of $d\theta/dt$ ranging from -10 to 10 in steps of 1.
+Use parameter values $g=9.8, \ell=1$, $m=1$, and $\alpha = 1$. For the time series plots, initiate the pendulum with $x_1 = \theta=0$ and $x_2 = d\theta/dt = 2$. For the phase portraits, show the range $-8 \leq \theta \leq 8$ on the horizontal axis and $-10 \leq d\theta/dt \leq 10$ on the vertical. On top of the quiver plots, show trajectories with initial conditions $\theta=0$ and a variety of $d\theta/dt$ ranging from -10 to 10 in steps of 1.
+----
 Turn in your code, your plots, and answer the following questions
+====Questions (to be answered at the end of your lab)====
 **(a)** Describe the differences that you see in the phase portraits of the nonlinear pendulum compared to the linear pendulum.