Stabilization and synchronization of Newton-Leipnik system via a simple adaptive feedback controller

This paper investigates the stabilization and synchronization of Newton-Leipnik systems by applying adaptive control method. Firstly, we stabilize the Newton-Leipnik system with single variable feedback controller. Then, we synchronize two identical Newton-Leipnik chaotic systems by a simple adaptive controller. To the best of our knowledge, the above controllers obtained in this paper are simpler than those obtained in the existing results. Finally, numerical simulations verify the effectiveness and the validity of the above theoretical results.