Tracking control for a ten-ring chaotic system with an exponential nonlinear term

A new system with an exponential nonlinear term, which can exhibit ten-ring attractors, is introduced in this paper. The proposed chaotic system is totally different from the existing systems in previous works. Some basic dynamical properties of the system are analyzed theoretically and numerically. Existence and uniqueness of the solution of the presented system are proved. Next, the tracking control for the proposed system with exponential convergence rate is addressed. Finally, numerical simulations are also performed to verify the effectiveness of presented schemes.