Attaining chaos synchronization by using the non-generating partitions

In this study, we show that, the unidirectional chaos synchronization can be obtained by using a non-generating partition to divide the phase space. Moreover, when using a non-generating partition to attain the chaos synchronization, the minimum required communication channel capacity is hβhβ, which is less than the KS entropy of the drive system hKShKS. However, the minimum synchronization error cannot be arbitrarily small. Simulations are provided to validate our results.