The effect of numerical techniques on differential equation based chaotic generators

Mohammed A. Zidan, Ahmed G. Radwan, Khaled N. Salama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

27 Scopus citations

Abstract

In this paper, we study the effect of the numerical solution accuracy on the digital implementation of differential chaos generators. Four systems are built on a Xilinx Virtex 4 FPGA using Euler, mid-point, and Runge-Kutta fourth order techniques. The twelve implementations are compared based on the FPGA used area, maximum throughput, maximum Lyapunov exponent, and autocorrelation confidence region. Based on circuit performance and the chaotic response of the different implementations, it was found that less complicated numerical solution has better chaotic response and higher throughput.
Original languageEnglish (US)
Title of host publicationICM 2011 Proceeding
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781457722097
DOIs
StatePublished - Apr 5 2012

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