Synthesis and Analysis of a Digital Chaos Circuit Generating Multiple-Scroll Strange Attractors

In this paper, a new digital chaos circuit which can generate multiple-scroll strange attractors is proposed. Being based on the piecewise-linear function which is determined by on-chip supervised learning, the proposed digital chaos circuit can generate multiple-scroll strange attractors. Hence, the proposed circuit can exhibit various bifurcation phenomena. By numerical simulations, the learning dynamics and the quasi-chaos generation of the proposed digital chaos circuit are analyzed in detail. Furthermore, as a design example of the integrated digital chaos circuit, the proposed circuit realizing the nonlinear function with five berakpoints is implemented onto the FPGA (Field Programmable Gate Array). The synthesized FPGA circuit which can generate n-scroll strange attractors (n = 1, 2, . . . 4) showed that the proposed circuit is implementable onto a single FPGA except for the SRAM. key words: Chua’s circuit, neuro-fuzzy circuits, supervised learning, discrete-time circuits, digital circuits, integrated circuits