Chaos in a fractional-order neuron network system with varying time delays is illustrated. Chaotic synchronization system for such system is constructed. The theoretic analyses are given by Laplace transformation theory, the bifurcation graph with respect to coupled parameter presented, and the numerical experiments are presented. The study shows that the chaos in such fractional-order neuron networks with varying time delay can be synchronized. Furthermore, several different coupled systems are constructed, and the synchronization characteristics are compared.
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