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

Kei EGUCHI; Takahiro INOUE; Akio TSUNEDA

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

Kei EGUCHI, Takahiro INOUE, Akio TSUNEDA

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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 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 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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.6 pp.965-972

Publication Date: 1999/06/25

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Type of Manuscript: Special Section PAPER (Special Section of Papers Selected from 1998 International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC '98))

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Kei EGUCHI, Takahiro INOUE, Akio TSUNEDA, "Synthesis and Analysis of a Digital Chaos Circuit Generating Multiple-Scroll Strange Attractors" in IEICE TRANSACTIONS on Fundamentals, vol. E82-A, no. 6, pp. 965-972, June 1999, doi: .
Abstract: 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 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_6_965/_p

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@ARTICLE{e82-a_6_965,
author={Kei EGUCHI, Takahiro INOUE, Akio TSUNEDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Synthesis and Analysis of a Digital Chaos Circuit Generating Multiple-Scroll Strange Attractors},
year={1999},
volume={E82-A},
number={6},
pages={965-972},
abstract={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 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.},
keywords={},
doi={},
ISSN={},
month={June},}

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TY - JOUR
TI - Synthesis and Analysis of a Digital Chaos Circuit Generating Multiple-Scroll Strange Attractors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 965
EP - 972
AU - Kei EGUCHI
AU - Takahiro INOUE
AU - Akio TSUNEDA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1999
AB - 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 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.
ER -