Chaos control of a time-delay chaotic neural network for information processing

An applicable time-delay globally coupled map model using the symmetric map (TDSG) is considered. Firstly, its rich dynamic behaviours are exhibited. Secondly, a parameter modulated control as a type of adaptive control method is applied for associate memory, and then the dynamics of the controlled system with time delay d = 1 is elaborated. By means of the control method, the output of the TDSG runs along the corresponding 2(d + 1) cycle periodic orbit with the change of d. Moreover, the stored pattern which has the smallest Hamming distance to the initial state of the network and its reverse pattern appear in the periodic output sequence, while other stored patterns and their reverse patterns are not contained. It implies that the controlled TDSG can be feasibly applied to information processing such as pattern recognition.