Chaos control and synchronization of the Newton–Leipnik chaotic system

The remarkable Newton–Leipnik system, possessing a double strange attractor, is studied from the view of chaos control and synchronization in this paper. Effective linear feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, Chaos synchronization, not only between two identical Newton–Leipnik systems, including between the two chaotic attractors, but particularly also between the Newton–Leipnik system and the Sprott-O system, is achieved by employing active control scheme. Numerical simulations are presented for the purpose of verification and illustration.