In this letter, the nonlinear behavioral model of a thirdorder chaotic system based on CFOAs is introduced. The proposed model is more realistic than PWL approaches widely used in the literature, since herein real physical active device performance parameters along with its parasitic elements are taken into account in the modeling process. As a consequence, chaotic attractors at 1-D can not only be better forecasted, but since chaotic waveforms numerically and experimentally generated have a random behavior, statistical tests are used to measure the similitude between them. Experimental results of the chaotic system designed with the AD844AN integrated circuit are gathered, showing good agreement with theoretical simulations.

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This paper addresses an adaptive control approach for synchronizing two chaotic oscillators with saturated nonlinear function series as nonlinear functions. Mathematical models to characterize the behavior of the transmitter and receiver circuit were derived, including in the latter the adaptive control and taking into account, for both chaotic oscillators, the most influential performance parameters associated with operational amplifiers. Asymptotic stability of the full synchronization system is studied by using Lyapunov direct method. Theoretical derivations and related results are experimentally validated through implementations from commercially available devices. Finally, the full synchronization system can easily be reproducible at a low cost.

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