3 papers
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…
nlin.SI2025
A Lax representation and integrability of homogeneous exact magnetic flows on spheres in all dimensions
Vladimir Dragović, Borislav Gajić, Božidar Jovanović
We consider motion of a material point placed in a constant homogeneous magnetic field restricted to the sphere . We provide a Lax representation of the equations of motio…
math.OC2024
Complexity of Lasso with Normalized Data, Geometry and Combinatorics
Vladimir Dragović, Borislav Gajić
We observe and prove that the complexity of lasso for normalized data is smaller than for nonnormalized ones by relating this question to extremal combinatorics and algebraic graph…