Global adaptive strategy to make a complex network attain an inhomogeneous equilibrium

A global adaptive strategy is proposed to make a complex dynamical network attain an inhomogeneous equilibrium point. Based on the error between the node´s state and its desired state, the coupling strength between nodes increases until the network attain an inhomogeneous equilibrium point. By constructing a Lyapunov function, a sufficient condition about the inhomogeneous equilibrium point is obtained, which is proofed by simulation, when the isolated node is a Chua´s circuit.