Coexistence of infinite attractors in a fractional-order chaotic system with two nonlinear functions and its DSP implementation

Xintong Han, Jun Mou, Li Xiong, Chenguang Ma, Tianming Liu, Yinghong Cao

Abstract: Highlights • A fractional-order chaotic system is constructed. • Dynamics are analyzed. • Parameter space is detected. • Designed the circuit. Abstract In this paper, a new five-dimensional fractional-order chaotic system based on two nonlinear functions is constructed. The rich dynamical behaviors of the system are analyzed by phase diagram, bifurcation diagram and Lyapunov exponents spectrum. In addition, the complexity of the fractional-order system is analyzed through Spectral Entropy (SE) and Permutation Entropy (PE) algorithms. Meanwhile the phenomenon of coexisting infinite attractors is analyzed. Of particular concern is that the phenomenon of multi-state transition and intermittent oscillation chaos is found in this new chaotic system. Furthermore, the system is implemented on the DSP platform. To the best of the knowledge, these rich dynamical characteristics and complicated phenomena are of great reference value in chaotic image encryption and other fields.