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math-ph2026
The Zhukovskiy-Volterra gyroscope: geometry and reduction
Vladimir Dragović, Borislav Gajić, Božidar Jovanović
We describe a symplectic reduction of the Zhukovskiy integrable case of motion of a rigid body about a fixed point with a gyroscope in to an integrable magnetic flow…
math.DS2026
From bungee to and Hamiltonian systems and their integrability and nonintegrability
Vladimir Dragović, Borislav Gajić, Božidar Jovanović
We consider natural Hamiltonian systems with potentials that are or on a hypersurface and -smooth in the complement and introduce and study corresponding no…