TY - GEN
T1 - FPGA Board Implementation of Two Hamiltonian Conservative Chaotic Systems
AU - Perez, Jose Cruz Nunez
AU - Valdez, Miguel Angel Estudillo
AU - Adeyemi, Vincent Ademola
AU - Tellez, Andres Calvillo
AU - Torres, Jose Venegas
AU - Alcaraz, Gilberto Enrico Vazquez
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021
Y1 - 2021
N2 - This work presents, for the first time in the literature, the implementation of two Hamiltonian conservative chaotic systems on an FPGA board, using two different numerical methods to solve the difference equations: the improved Euler and the fourth order Runge-Kutta. The chaotic oscillators that are implemented are two cases of four-dimensional Hamiltonian conservative chaotic systems, which are simulated by MATLAB software obtaining their four different time series. Subsequently, the two cases are digitally implemented on an FPGA board using the MATLAB/Simulink tool in conjunction with the Vivado software for the digital design of the modules in VHDL code. Finally, both the Matlab simulation and the digital emulation are compared, and the FPGA board logical resources used are presented. The original contribution of this work is the design of a digital platform capable of displaying the digital emulation of two cases of Hamiltonian conservative chaotic systems in an analog way, with the flexibility to change their initial conditions and parameters using software.
AB - This work presents, for the first time in the literature, the implementation of two Hamiltonian conservative chaotic systems on an FPGA board, using two different numerical methods to solve the difference equations: the improved Euler and the fourth order Runge-Kutta. The chaotic oscillators that are implemented are two cases of four-dimensional Hamiltonian conservative chaotic systems, which are simulated by MATLAB software obtaining their four different time series. Subsequently, the two cases are digitally implemented on an FPGA board using the MATLAB/Simulink tool in conjunction with the Vivado software for the digital design of the modules in VHDL code. Finally, both the Matlab simulation and the digital emulation are compared, and the FPGA board logical resources used are presented. The original contribution of this work is the design of a digital platform capable of displaying the digital emulation of two cases of Hamiltonian conservative chaotic systems in an analog way, with the flexibility to change their initial conditions and parameters using software.
KW - Euler
KW - FPGA
KW - Hamiltonian conservative
KW - Runge-Kutta
KW - VHDL
KW - chaos
UR - http://www.scopus.com/inward/record.url?scp=85123802520&partnerID=8YFLogxK
U2 - 10.1109/ICEV52951.2021.9632635
DO - 10.1109/ICEV52951.2021.9632635
M3 - Contribución a la conferencia
AN - SCOPUS:85123802520
T3 - 2021 IEEE International Conference on Engineering Veracruz, ICEV 2021
BT - 2021 IEEE International Conference on Engineering Veracruz, ICEV 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 IEEE International Conference on Engineering Veracruz, ICEV 2021
Y2 - 25 October 2021 through 28 October 2021
ER -
