1. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, The University of Maroua, Maroua P.O. Box 46, Cameroon 2. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam 3. Department of Electronic and Automation, Vocational School of Hacıbektaş, Nevşehir Hacıbektaş Veli University, Hacıbektaş 50800, Turkey 4. Center for Nonlinear Dynamics, Defence University, Bishoftu 6020, Ethiopia
An autonomous five-dimensional (5D) system with offset boosting is constructed by modifying the well-known three-dimensional autonomous Liu and Chen system. Equilibrium points of the proposed autonomous 5D system are found and its stability is analyzed. The proposed system includes Hopf bifurcation, periodic attractors, quasi-periodic attractors, a one-scroll chaotic attractor, a double-scroll chaotic attractor, coexisting attractors, the bistability phenomenon, offset boosting with partial amplitude control, reverse period-doubling, and an intermittency route to chaos. Using a field programmable gate array (FPGA), the proposed autonomous 5D system is implemented and the phase portraits are presented to check the numerical simulation results. The chaotic attractors and coexistence of the attractors generated by the FPGA implementation of the proposed system have good qualitative agreement with those found during the numerical simulation. Finally, a sound data encryption and communication system based on the proposed autonomous 5D chaotic system is designed and illustrated through a numerical example.
