- Hamiltonian system
classical mechanics, a Hamiltonian system is a physical systemin which forces are velocityinvariant. Hamiltonian systems are studied in Hamiltonian mechanics.
mathematics, a Hamiltonian system is a system of differential equations which can be written in the form of Hamilton's equations. Hamiltonian systems are usually formulated in terms of Hamiltonian vector fields on a symplectic manifoldor Poisson manifold. Hamiltonian systems are a special case of dynamical systems.
* Liouville's theorem
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