Abstract
In recent years, chaotic systems with no equilibrium point are the hottest topic for research as these systems can have neither homoclinic nor heteroclinic orbits and show hidden attractors. This paper presents a novel fractional-order memristor-based chaotic jerk system with no equilibrium point. The proposed system is new in the sense that it is a fractional-order memristor-based chaotic jerk system and has no equilibrium point and also has very few terms even after the incorporation of memristor in the system. The rich chaotic behaviour of the proposed system is demonstrated by various numerical tools which include bifurcation diagram, attractors plot, and instantaneous phase plot. A fractional-order backstepping controller is designed to stabilise the chaos in the system.
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