A Novel Simple 6D Hyperchaotic System with Hidden Attractors

A novel, simple 6D hyperchaotic system with four positive Lyapunov Exponents (LEs) is constructed in this work. The proposed system is derived by adding nonlinear control to the first equation of the 5D system via a state feedback control strategy. The system is considered simple because it consists of thirteen terms, including three quadratic terms and three control parameters, and is categorized as hidden attractors without equilibrium points. Moreover, the new system has different dynamical behavior such as periodic, quasi-periodic, chaotic, and hyperchaotic. After that, the symmetricity and multistability of coexisting attractors to the novel 6D system have been illustrated. Finally, a Hybrid Projective Synchronization (HPS) has been performed.