Abstract
Based on analysis of Logistic mapping's time serials and bifurcation, the result that Logistic mapping under chaos and period have some same characters is found out, though the two states are different in details but they have the same trend as time evolved. So the concept of chaos synchronization can be enlarged, from the synchronization of two chaos systems to the synchronization of chaos system and period system. The synchronization of the above two system can be realized by system error absolute value feedback control. The method above can also realize the synchronization of two systems that have different parameters by using adaptive control to adjust parameter first. The numerical simulation shows that error absolute value feedback control is a fast and valid method for Logistic mapping synchronization.
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