In this work, the generalized Padé–Lindstedt–Poincaré method is applied to obtain high accurate homoclinic and heteroclinic solutions of the entire
$$\Phi^{6}$$
-Van der Pol oscillator with asymmetric potential and the generalized Duffing-Harmonic-Van der Pol oscillator. Meanwhile, the critical values of bifurcation parameter are also predicted To improve the efficiency and accuracy, several new types of generalized Padé approximant are constructed and introduced into the procedure of the present method. In this method, the pert...
