Periodic Solutions for the Generalized Anisotropic Lennard-Jones Hamiltonian

摘要

We characterize the circular periodic solutions of the generalized Lennard-Jones Hamiltonian system with two particles in R-n, and we analyze what of these periodic solutions can be continued to periodic solutions of the anisotropic generalized Lennard-Jones Hamiltonian system. We also characterize the periods of antiperiodic solutions of the generalized Lennard-Jones Hamiltonian system on R-2n, and prove the existences of 0 tau**. Each of these circular solution families is of dimension n - 1 module the S-1-action.