Three-dimensional four-wing generalized augmented Lu system

The augmented Lu system is a three-dimensional chaotic system, which can generate a false 4-wing attractor with only two control parameters. By using the method of anti-control chaos, a new three-dimensional chaotic system, named as generalized augmented Lu system, is proposed by the introducing a simple linear state controller into the augmented Lit system. The new system implements a real 4-wing attractor with compound structure and contains two mirrored symmetrical sub-system. By either of theoretical analyses, numerical simulations and circuit experiments, the existence of 4-wing chaotic attractor evolved from the generalized augmented Lit system is verified. It is also elaborated that the generalized augmented Lit system having more abundant dynamical behaviors than the augmented Lu system.