Local Dynamics of Autonomous Van Der Pol–Duffing Circuit System Containing Parallel Resistor

The local dynamics including stability and Hopf bifurcation of autonomoius van der Pol-Duffing circuit system containing parallel resistor are investigated both analytically and numerically in this paper. All the equilibrium points and their stability conditions are presented. The parametric conditions for Hopf bifurcation are also obtained. Numerical simulations verify the analytical results.