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-scro ll strange attractors is proposed. Being based on the piecewise-linear func tion which is determined by on-chip supervised learning, the proposed digit al chaos circuit can generate multiple-scroll strange attractors. Hence, th e proposed circuit can exhibit various bifurcation phenomena. By numerical simulations, the learning dynamics and the quasi-chaos generation of the pr oposed digital chaos circuit are analyzed in detail. Furthermore, as a desi gn example of the integrated digital chaos circuit, the proposed circuit re alizing the nonlinear function with five berakpoints is implemented onto th e FPGA (Field Programmable Gate Array). The synthesized FPGA circuit which can generate n-scroll strange attractors (n = 1, 2,...4) showed that the pr oposed circuit is implementable onto a single FPGA except for the SRAM.