MODELLING AND SIMULATION OF CHUA'S CIRCUIT

Erik Lindberg · Journal of Circuits Systems and Computers · 1993

Experiments with modelling and simulation of Chua's circuit are presented in order to transfer a simple explanation of its behaviour from the wonderful fairy-tale world of mathematicians to the marvellous physical world of electronic engineers. It is demonstrated that the behaviour of the circuit is based on the interaction (superposition) of two different kinds of energy balance: (1) Chaotic behaviour based on the interaction of two unstable DC-states and (2) stable limit cycle behaviour based on the balance between the energy lost in the regions with mainly positive losses and the energy gained in the regions with mainly negative losses. Convergence problems observed in connection with simulation of the ideal piecewise-linear model are solved by means of a smooth continuous model of the nonlinear element based on the ideal operational amplifier model instead of a polynomial approximation. The preliminary results are presented. The NAP2 program made by the late Thomas Rübner-Petersen has been used for the simulations.

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