Change example (or add exercise) on stability of center when solution curves are non-circular [dynamics]

Issue #38 closed
Richard Murray repo owner created an issue

The current example of stability in Ch 5 (dynamics) uses a linear system with purely circular trajectories to illustrate a center. If we change the second equation from

\dot x_2 = -x_1


\dot x_2 = -\lambda x_1

Then the circles will change to ellipses and this might be more illustrative. We should think about this as a possible change in the main text, but if it is too disruptive then it could just be an exercise. Main goal is to get something where $\epsilon$ and $\delta are different.

Comments (2)

  1. Richard Murray reporter

    Resolved in commit 564275a. Changed the parameters of the oscillator to give (slight) ellipses, added circles to diagram, and updated text to explain what is going on.

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