A new Chaotic Jerk system based only on a Single quadratic equation displaying Coexisting attractors

In this work an single quadratic differential equations based new chaotic jerk system is proposed. This new system governed orgin equilibrium point and two remaining equilibrium points with 3 contant variables that generates typical chaotic attractors and indicated coexisting attractors and basin attractions for the system dynamics based on initial conditions which was not reported elsewhere in literature. Furthermore, this can increase the encryption space in secure communication for the proposed chaotic system. Also, the proposed system dynamic analysis of this chaotic attractor are investigated by numerical methods using the Lyapunov spectrum and the new chaotic system complexity determined by the Kaplan-Yorke dimension of 2.16.