Generation of tetrapterous butterfly attractors from Lorenz system

A novel approach for generating real tetrapterous butterfly attractors from Lorenz system is proposed in this paper. The key strategy is to create two additional index-2 equilibrium points by introducing a single pulse function to the third equation of Lorenz system. The evolutions of the strange tetrapterous butterfly attractor are investigated. Furthermore, two coexisting dipterous attractors under different initial conditions are also found. Both the numerical simulations and experimental results demonstrate that the generations of the tetrapterous butterfly attractors by utilizing this control method in Lorenz system are effective.