Analyzing the Nonlinear Dynamics of a Cubic Modified Chua’s Circuit System

By reformulating the cubic modified Chua's circuit system as a set of two second order differential equations, we investigate the nonlinear dynamics of this modified version of Chua's circuit system from the Jacobi stability point of view, using the Kosambi-Cartan-Chern geometric theory. We will obtain the five KCC-invariants which express the intrinsic geometric properties of the system, including the deviation curvature tensor which determine the Jacobi stability of the system near equilibrium points.