Sinusoidal modulation control method in a chaotic neural network

•Proposing a chaos control method for a chaotic neural network.•The control signal being sinusoidal wave simplified from brain waves.•The control method connecting with the brain activities.•The frequencies of the control signal corresponding to the thinking process.•Useful to understand the mechanism of the conscious activity.

Chaotic neural networks (CNNs) have chaotic dynamic associative memory properties: The memory states appear non-periodically, and cannot be converged to a stored pattern. Thus, it is necessary to control chaos in a CNN in order to recognize associative memory. In this paper, a novel control method, the sinusoidal modulation control method, has been proposed to control chaos in a CNN. In this method, a sinusoidal wave simplified from brain waves is used as a control signal to modulate a parameter of the CNN. The simulation results demonstrate the effectiveness of this control method. The controlled CNN can be applied to information processing. Moreover, the method provides a way to associate brain waves by controlling CNNs.