A Digital Hardware Implementation for A new Mixed-Order Nonlinear 3-D Chaotic System

Abstract

This paper introduces a generic modeling for a 3-D nonlinear chaotic based on fractional-order mathematical rules. Also, a novel modeling for the system using a mixture between integer and fractional-order calculus is proposed. Dynamics of the new realization are illustrated using phase portrait diagrams with complex behavior. Also, a great change in the parameter ranges is investigated using bifurcation diagrams. MATLAB and Xilinx ISE 14.5 are used in system simulations. Furthermore, the digital hardware implementation is done using Xilinx FPGA Virtex −5 kit. The synthesis report shows that the mixed-order design utilizes 2019 slices and 1809 registers. The proposed system proves its possibility to be used in cryptosystems.