High Order Chua´s Circuit and Its FPGA Realization

Based on a typical three order Chua´s circuit, we constructed the five, six and seven order Chua´s circuits by adding a Pi-type subcircuit in its inductance subcircuit. The Pi-type subcircuit consists of negative resistors, resistors, capacitances, and inductors. Moreover, based on the digital processing technology, we further physically realize the generating chaotic attractors by discreting the state equation of continuous time, ratio transformation of variable, and field programmable gate array (FPGA) approach. Furthermore, we propose a general design principle of FPGA technology for chaos generation. As an example, the seven order Chua´s circuit is detailedly analyzed and the experimental results are given. These results provide a practical route of the design and realization for the general complex high order circuit systems.