A New Simple 4D Hyperchaotic Sprott-B System with Seven-Terms

A new simple 4D hyperchaotic system with two unstable equilibriums is constructed. The proposed system is derived via coupling between a 3D Sprott-B system and a 1D linear system utilizing a coupling strategy. Compared to the traditional systems, a new system is considered simple since it consists of fewer than eight terms, i.e., seven terms and two quadratic nonlinearities. Because of the nature of equilibrium points, this system belongs to the class of self-excited attractors. Several attractors have been described as chaotic, hyperchaotic, chaotic 2-tours, and multistability. Finally, the synchronization problem of the proposed system has been investigated via the stability theory, and the numerical simulation indicated its agreement with the theoretical results.