Synthesis and Analysis of a Digital Chaos Circuit Generating Multiple-Scroll Strange Attractors (Special Section of Papers Selected from ITC-CSCC '98)

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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 determinedly 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 breakpoints 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.
社団法人電子情報通信学会の論文
1999-06-25