Generating hidden extreme multistability in memristive chaotic oscillator via micro-perturbation

By introducing a tiny perturbation into a memristive chaotic oscillator, a new memristive chaotic system without equilibrium is proposed in this letter. Therefore, the resulting attractors are all hidden. Particularly, the attractive phenomenon of hidden extreme multistability is observed. The complex dynamical behaviours are numerically analysed. Furthermore, a hardware experiment is carried out. A good similarity between numerical simulations and experimental results is obtained, which verifies the feasibility and effectiveness of this method.