Engineering Commons^™

Normalized Linearly-Combined Chaotic System: Design, Analysis, Implementation And Application, Md Sakib Hasan, Anurag Dhungel, Partha Sarathi Paul, Maisha Sadia, Md Razuan Hossain

Faculty and Student Publications

This work presents a general framework for developing a multi-parameter 1-D chaotic system for uniform and robust chaotic operation across the parameter space. This is important for diverse practical applications where parameter disturbance may cause degradation or even complete disappearance of chaotic properties. The wide uninterrupted chaotic range and improved chaotic properties are demonstrated with the aid of stability analysis, bifurcation diagram, Lyapunov exponent (LE), Kolmogorov entropy, Shannon entropy, and correlation coefficient. We also demonstrate the proposed system’s amenability to cascading for further performance improvement. We introduce an efficient Field-Programmable Gate Array (FPGA)-based implementation and validate its chaotic properties using …