Superintegrable Hamiltonian system

In mathematics, a superintegrable Hamiltonian system is a Hamiltonian system on a 2 n {\displaystyle 2n} -dimensional symplectic manifold for which the following conditions hold: (i) There exist k > n {\displaystyle k>n} independent integrals F i {\displaystyle F_{i}} of motion. Their level surfaces (invariant submanifolds) form a fibered manifold F : Z → N = F ( Z ) {\displaystyle F:Z\to N=F(Z)} over a connected open subset N ⊂ R k {\displaystyle N\subset \mathbb {R} ^{k}} .

Source: Wikipedia — Superintegrable Hamiltonian system (CC BY-SA 4.0)