From bungee to $C^1$ and $C^0$ Hamiltonian systems and their integrability and nonintegrability

Vladimir Dragović, Borislav Gajić, Božidar Jovanović

We consider natural Hamiltonian systems with potentials that are $C^0$ or $C^1$ on a hypersurface and $C^{\infty }$-smooth in the complement and introduce and study corresponding no…