Example with abnormals

[ocots]

It could be nice to have an example with abnormals to show how to deal with $p^0$. We can also augment the system.

[jbcaillau]

@ocots also nice to make a shooting function with a normalisation ($|p(0)|=1$, e.g.) that works for both normal and abnormal extremals.

[ocots]

@jbcaillau Can you provide academic examples of such problems? We can present Zermelo problems or maybe very simple problems.

[jbcaillau]

@ocots your Zermelo study cases are SUPER nice. to the best of my knowledge, the simplest illustration of the role of abnormal (without any SR like phenomenon).