The effect of numerical techniques on differential equation based chaotic generators
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
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AbstractIn 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.
CitationZidan MA, Radwan AG, Salama KN (2011) The effect of numerical techniques on differential equation based chaotic generators. ICM 2011 Proceeding. doi:10.1109/ICM.2011.6177395.
JournalICM 2011 Proceeding
Conference/Event name2011 23rd International Conference on Microelectronics, ICM 2011