離散映射混沌系統(tǒng)的關(guān)聯(lián)耦合同步

研究了驅(qū)動(dòng)和響應(yīng)系統(tǒng)為相同混沌系統(tǒng)、初值或參數(shù)不同時(shí)的同步問(wèn)題。提出了關(guān)聯(lián)耦合同步方法，通過(guò)對(duì)驅(qū)動(dòng)與響應(yīng)系統(tǒng)進(jìn)行耦合，實(shí)現(xiàn)兩個(gè)混沌系統(tǒng)的同步。并且，可以實(shí)施間歇性控制，減少控制代價(jià)。以logistic映射為例進(jìn)行了計(jì)算機(jī)仿真研究，仿真結(jié)果證實(shí)了該方法對(duì)實(shí)現(xiàn)離散映射混沌系統(tǒng)同步的有效性。
關(guān) 鍵 詞 混沌系統(tǒng); 關(guān)聯(lián)耦合; 同步; 離散映射

Abstract The synchronization of the drive system and response system which are described by the same chaotic systems but have different initial values or parameters is studied in this paper. A correlative coupling method of synchronizing chaos is proposed. Coupling these two systems each other can synchronize the drive system and response system. Furthermore, the intermittent control can be used to reduce the control cost. A computer simulation on two logistic maps is conducted. The simulation results illustrate the effectiveness of the proposed method for realizing the synchronization of discrete mapping chaotic systems.
Key words chaotic system; correlative coupling; synchronization; discrete mapping