Analysis of chaos in asymmetric nonlinear Chua's circuit

In order to describe the actual chaotic systems exactly, a simple modified Chua's circuit is presented, which includes an asymmetric nonlinear resistive element. Mathematical analysis is performed first, and then the simulation study is completed in MATLAB. By changing the value of linear resistor R in the circuit, dynamical behaviors are observed, such as DC equilibrium point, Hopf bifurcation, period-doubling bifurcation, single-scroll strange attractor, periodic window and asymmetric double-scroll strange attractor. The extreme sensitivity in the state trajectory with respect to the initial conditions is exhibited, and the special characteristic of the asymmetric nonlinear Chua's circuit is observed also.