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 h β , which is less than the KS entropy of the drive system h K S . However, the minimum synchronization error cannot be arbitrarily small. Simulations are provided to validate our results.