Extreme multistability of fractional-order hyperchaotic system based on dual memristors and its implementation.

In this paper, a fractional-order hyperchaotic system based on dual memristors is proposed by introducing flux-controlled and charge-controlled memristors into a simple RLC circuit. Dynamics of the hyperchaotic system are investigated using bifurcation diagrams, Lyapunov exponents spectrum (LEs), phase diagrams, time-domain diagrams, spectral entropy (SE) and C 0 complexity. The results show that it has a plane of equilibria and exhibits rich dynamical characteristics, including hyperchaos, homogeneous and heterogeneous extreme multistability. Meanwhile, the transient transition phenomena as well as the effect of parameters on the complexity and chaotic behavior of the system are also studied. Furthermore, the practical implementation of the system is realized through analog and digital circuit. The experimental results validate the correctness of the theoretical analysis and help to make better use of the hyperchaotic system in applications such as secure communications. • A fractional-order hyperchaotic memristive system with infinite equilibrium point is proposed • Compared with integer-order system, the fractional-order system has stronger chaotic characteristics and higher complexity • The system exhibits homogeneous and heterogeneous extreme multistability behavior • The proposed system is implemented by analog circuit and digital circuit [ABSTRACT FROM AUTHOR]