A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability.

Highlights • A novel memristive 6D hyperchaotic autonomous system with extreme multistability. • Hidden attractor under a line and a plan of equilibria. • Numerical evidence of transient chaos followed by periodic bursting oscillations, of intermittency and boosting behaviors. • PSpice simulations are introduced in order to validate the numerical results. Abstract This paper presents a 6D autonomous system, obtained by introducing a flux-controlled memristor model into an existing 5D hyperchaotic autonomous system. The dynamics of the novel system are investigated in terms of equilibrium points, bifurcation diagrams, Lyapunov exponent spectra, phase portraits, time series and attraction basins. Moreover, its circuit implementation is also proposed. The system is hyperchaotic under a line or a plan of equilibria. Other attractive dynamics observed are: hidden extreme multistability, transient chaos, bursting and offset boosting phenomenon. Interestingly, for a particular set of parameters, an unusual metastability showing transition from chaotic to periodic bursting dynamics is found. Dynamical systems capable of producing the above complexity are not common in the literature; thus, this novel memristive 6D hyperchaotic autonomous system deserves particular attention. PSpice based simulations are in good agreement with numerical computations. To the best of our knowledge, this system is the first with higher order presenting all those phenomena. [ABSTRACT FROM AUTHOR]