Heteroclinic orbits and chaotic regions for Josephson system

The dynamics of the perturbed Josephson system has been discussed in this study. The Josephson system has been transformed into three polynomial systems. The analytic description of the heteroclinic orbits for these unperturbation polynomial systems have been obtained. By employing the Melnikov techniques together with the analytic forms of the heteroclinic orbits, the existence of transversal heteroclinic chaos and the parameter regions for chaos for the perturbed Josephson system is then obtained.