On interrelations between divergence-free and Hamiltonian dynamics
On interrelations between divergence-free and Hamiltonian dynamics is a scholarly work, published in 2019 in ''Journal of Geometry and Physics''. The main subjects of the publication include Hamiltonian system, fundamental vector field, mathematical analysis, pure mathematics, symplectic geometry, mathematical physics, bifurcation theory, torus, Diophantine equation, integrable system, vector field, Hamiltonian mechanics, chaos theory, quantum chaos, mathematics, and Hamiltonian. The authors also consider the\ncase of a divergence free vector field $X$ with a smooth integral having only\nfinite number of critical levels.