The novel control method of three dimensional discrete hyperchaotic Hénon map

- An adaptive control approach of discrete system is proposed.
- This approach is more easy to implement.
- The simulation results show the effectiveness of the proposed method.

In this paper, based on the stability theorem of discrete systems and the idea of control theory, the novel three dimensional discrete hyperchaotic Hénon map is analyzed and the feedback and adaptive control methods are presented, respectively to stabilize hyperchaotic Hénon map at different one-periodic orbits. The two methods are compared in different aspects. Numerical simulations show the feasibility and effectiveness of this method.