Chaos synchronization basing on symbolic dynamics with nongenerating partition.
Using symbolic dynamics and information theory, we study the information transmission needed for synchronizing unidirectionally coupled oscillators. It is found that when sustaining chaos synchronization with nongenerating partition, the synchronization error will be larger than a critical value, although the required coupled channel capacity can be smaller than the case of using a generating partition. Then we show that no matter whether a generating or nongenerating partition is in use, a high-quality detector can guarantee the lead of the response oscillator, while the lag responding can make up the low precision of the detector. A practicable synchronization scheme basing on a nongenerating partition is also proposed in this paper.
Wang
Xingyuan
X
School of Electronic and Information Engineering, Dalian University of Technology, Liaoning 116024, People's Republic of China.
Wang
Mogei
M
Liu
Zhenzhen
Z