TY - GEN
T1 - The effect of numerical techniques on differential equation based chaotic generators
AU - Zidan, Mohammed A.
AU - Radwan, Ahmed G.
AU - Salama, Khaled N.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/4/5
Y1 - 2012/4/5
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/236231
UR - http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6177395
UR - http://www.scopus.com/inward/record.url?scp=84860667048&partnerID=8YFLogxK
U2 - 10.1109/ICM.2011.6177395
DO - 10.1109/ICM.2011.6177395
M3 - Conference contribution
SN - 9781457722097
BT - ICM 2011 Proceeding
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -