= Integrable Hamiltonian system
= Complete integrability
{synonym}
= Completely integrable Hamiltonian system
{synonym}
= Liouville integrability
{c}
{synonym}
= Liouville integrable
{c}
{synonym}
Liouville integrability means having $n$ almost-everywhere independent first integrals in mutual Poisson involution.
For a Hamiltonian phase space of dimension $2n$, Liouville integrability means $n$ functionally independent conserved quantities with pairwise vanishing <Poisson brackets>. This is the Hamiltonian specialization of <integrable systems>.
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