Abstract
The inhomogeneous equilibrium point of a delayed complex network is investigated. In this letter, a novel local adaptive approach is used to make the delayed network achieve an inhomogeneous equilibrium point, where the whole nodes are divided into several groups; the nodes in the same group achieve one equilibrium point. The coupling strength between nodes varies with the information of the related nodes. By constructing a Lyapunov function, a sufficient condition about the stability of the inhomogeneous equilibrium point is obtained. When the isolated node is chaotic Lorenz system, simulations verify the effectiveness of the strategy.
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