基于量子遗传算法的混沌系统异结构反同步
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摘要
对异结构超混沌系统的反同步问题进行了研究.利用量子遗传算法(QGA)对反馈增益矩阵进行了参数优化,克服了反馈增益中参数不易整定的缺点.数值仿真结果表明,QGA结合反馈反同步法能使异结构的超混沌Chen系统和Lorenz系统在短时间内迅速达到反同步,体现了该算法的优越性,并验证了QGA在解决异结构反同步问题上的可行性及有效性.
Inverse synchronization of hyperchaotic systems with heterogeneous structure is investigated.The parameters of feedback gain matrix are optimized by using quantum genetic algorithm(QGA), which overcomes the difficulty of parameter tuning in feedback gain. Numerical simulation results show that the QGA combining with the feedback inverse synchronization method can make the hyperchaotic Chen system and Lorenz system of the heterogeneous structure achieve inverse synchronization quickly in a short time,which shows the superiority of the algorithm, and verifies the feasibility and effectiveness of QGA in solving the inverse synchronization problem of heterogeneous structure.
Inverse synchronization of hyperchaotic systems with heterogeneous structure is investigated.The parameters of feedback gain matrix are optimized by using quantum genetic algorithm(QGA), which overcomes the difficulty of parameter tuning in feedback gain. Numerical simulation results show that the QGA combining with the feedback inverse synchronization method can make the hyperchaotic Chen system and Lorenz system of the heterogeneous structure achieve inverse synchronization quickly in a short time,which shows the superiority of the algorithm, and verifies the feasibility and effectiveness of QGA in solving the inverse synchronization problem of heterogeneous structure.
引文
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[4] Lu Y, Liu S. Spatiotemporal chaos synchronization in complex networks with node structure mutual heterogeneity[J].Acta Physica Sinica(物理学报),2012, 61(9):45-50(in Chinese).
[5] Guo H L. Synchronization and anti-synchronization of Colpitts oscillators using active control[J]. Chaos, Solitons and Fractals, 2005, 26(1):87-93.
[6] Yan M X, Zheng X F. Active adaptive sliding mode control for synchronization of hyperchaotic systems[J]. Journal of Shenyang University(Natural Science Edition)(沈阳大学学报·自然科学版),2014, 26(06):479-485(in Chinese).
[7] Fu C L, Jia Q S. Anti-synchronizing different chaotic systems using active sliding mode control[J]. Acta Physica Sinica(物理学报),2008, 57(8):4729-4737(in Chinese).
[8] Tang Y, Liu W Y. Data simulation of spaceborne quantum communication based on fixed-point data[J]. Chinese Journal of Quantum Electronics(量子电子学报),2017, 34(4):441-445(in Chinese).
[9] He Y, Zhang H L. Study on improvement of quantum genetic algorithm to identification of hyper-chaotic systems[J]. Chinese Journal of Quantum Electronics(量子电子学报),2016, 33(5):578-583(in Chinese).
[10] Cai N, Jing Y W. Anti-synchronization Between Hyper-Chaotic Chen System and Hyper-Chaotic Lorenz System[J]. Journal of Northeastern University(Natural Science Edition)(东北大学学报(自然科学版)),2009, 30(3):313-317(in Chinese).