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Integrable dynamical system - relation to elliptic curves

If your system is algebraic, then you bet! More generally, you can get abelian varieties as the fibers for many interesting integrable systems. Google the following for more: algebraic complete integ …
Charles Siegel's user avatar
10 votes

What is an integrable system?

I'll give a bit of a physics definition. (Reference is "A Brief Introduction to Classical, Statistical and Quantum Mechanics" by B\"uhler.) "A mechanical system is called integrable if we can reduce …
Charles Siegel's user avatar