Finiteness of integrable n-dimensional homogeneous polynomial potentials
نویسنده
چکیده
We consider natural Hamiltonian systems of n > 1 degrees of freedom with polynomial homogeneous potentials of degree k. We show that under a genericity assumption, for a fixed k, at most only a finite number of such systems is integrable. We also explain how to find explicit forms of these integrable potentials for small k.
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تاریخ انتشار 2007