Homotopy Analysis Method for Heterclinic Orbit of Michelson System

In this paper, we use the homotopy analysis method (HAM) to obtain the analytic approximation of heterclinic orbit in Michelson system. Comparisons are made between the results of the pro- posed method and exact solutions. The results show that the HAM is an effective and practical technique of analytic approximation for the heterclinic orbit. The proof of convergence theorems for the present method is elucidated as well.