Experiments on our own designs of the above circuits are modelled and the models are rigorously analysed and simulated showing surprisingly close qualitative agreement with the experiments. This work presents a complete applied mathematical investigation of logical circuits. To create a robust modelling framework for chaotic logical circuits, we developed both deterministic and stochastic discrete dynamical models, which exploit the natural recurrence behaviour, for two chaotic NOR gates and a chaotic set/reset flip-flop. In recent years, some discrete dynamical models have been developed using various simplifying assumptions. This renders continuous dynamical systems models impractical and necessitates new modelling techniques. However, as the number of components in newer circuits increases so does the complexity. Some of these circuits have been modelled as systems of ordinary differential equations. This behaviour can be used to design analogues of more complex logic families and some properties can be exploited for electronics applications. It has been observed through experiments and SPICE simulations that logical circuits based upon Chua’s circuit exhibit complex dynamical behaviour.
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