Controlling unstable periodic orbits in complex dynamical networks with chaotic nodes

This paper is concerned with the problem of high order stabilization in a class of complex dynamical networks (CDNs). This class of CDNs is represented by scale-free networks with chaotic nodes. The main idea is to apply a nonlinear control method that offers the possibility of stabilizing the desired unstable periodic orbits of continuous-time chaotic systems for each node in the network. Numerical examples are presented to demonstrate the effectiveness of the proposed control strategy.