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We formulate a mathematical model for the classical Chua's circuit with two nonlinear resistors in terms of a system of nonlinear ordinary differential equations. The existence of two nonlinear resistors implies that the system has three equilibrium points. The behaviour of the trajectory in a neighbourhood of each equilibrium point depends on the eigenvalues of the system. The eigenvalues can be obtained from a cubic polynomial equation. It turns out that all possible solutions of the cubicdoi:10.14456/sjst-psu.2020.86 fatcat:erbgyztw4ngajmpundrqefozbe