Hybrid Synchronization Problem of a Class of Chaotic Systems by an Universal Control Method

被引：18
|
作者：
Wang, Zuoxun [1 ]
Guo, Rongwei [2 ]
机构：
[1] Qilu Univ Technol, Sch Elect Engn & Automat, Shandong Acad Sci, Jinan 250353, Shandong, Peoples R China
[2] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Chaos; complete synchronization; anti-synchronization; coexistence; simultaneous synchronization and anti-synchronization; universal control method; ANTI-SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; BEHAVIOR; SCHEME; MODEL;
D O I：
10.3390/sym10110552
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The hybrid synchronization problem of a class of chaotic systems is investigated in this paper. Firstly, the existence of hybrid synchronization problems in such systems is proved theoretically by a proposed necessary and sufficient condition. That is, the hybrid synchronization problem is equivalent to solve a group of nonlinear algebraic equations about a. It is interesting that one value of a indicates one type of synchronization. Secondly, all solutions for the hybrid synchronization problem are obtained by finding solutions of all the above equations about a. Thirdly, an universal control method is proposed to realize such hybrid synchronization problems. Finally, illustrative examples are provided to verify the validity and effectiveness of the obtained results.
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收藏
页数：18
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