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27 votes

What is an integrable system?

I don't think that one could say that there is a dichotomy between integrable and chaotic systems. There is certainly a huge chunk in the middle. By a chaotic system we often mean a system where traj …
Dmitri Panov's user avatar
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3 votes

Designer metric for a vector field

Let's focus on the case when $M$ is a compact $3$-dimensional manifold. In such case one can propose a kind of criterion. In some sense this criterion is tautological, but it gives a kind of classific …
Dmitri Panov's user avatar
  • 28.9k