Synchronization of n-scrolls chaotic systems synthesized from high-level behavioral modeling

The high-level modeling and simulation of a chaotic oscillator based on saturated functions (SFs) is presented for the synthesis of n-scrolls attractors from functional specifications. The applications of the synthesized chaotic circuits in a synchronization approach for secure communications are also described. The synthesis methodology is based on tree hierarchical levels. First, the oscillator is simulated at the electronic system level (ESL) by applying state variables and piecewise-linear approximation. Additionally, design space exploration of n-scroll attractors is performed by procedures to control the scaling of the excursion levels and frequency, R, L and C elements values and the breaking points and slopes of the SF. Second, SFs are synthesized using op-amp blocks. Verilog-A models are used to model the limitations (gain, bandwidth, slew-rate, saturation) of real op-amps. Theoretical results are confirmed by SPICE simulations to show the usefulness of the synthesis approach and the synchronization.