Abstract: Based on the MoralesRamis theory, we considered the nonintegrability of the Hamiltonian system with Marta potential energy by using the theoretical analysis method, and proved that this Hamiltonian system was not meromorphic integrable in sense of Liouville. The results can be used to understand the dynamic behavior and topological structure of the system from the perspective of nonintegrability.

Key words: MoralesRamis theory, Marta potential energy； Liouville integrability