Complex behaviors in a new 4D memristive hyperchaotic system without equilibrium and its microcontroller-based implementation

The construction of dynamic systems with new features has always been an interesting research topic. Since the introduction of the first memristor model, several memristive systems have been reported. This paper focuses on a new memristive hyperchaotic system without equilibrium, emerging from the extended diffusionless Lorenz equations. Its rich dynamics is demonstrated by using familiar tools. Hyperchaos, very long transient chaotic regimes, rare bursting oscillations schemes and coexistence of four attractors are noticed. A low-cost microcontroller-based implementation for digital engineering applications is presented to confirm its feasibility.