Bloch混沌系统的动力学行为研究及仿真  

Dynamical behavior study for Bloch chaotic system and simulation

作　　者：张勇[1] 张光云[2] 张付臣[3] 

机构地区：[1]河南工业职业技术学院,河南南阳473000 [2]西南石油大学外国语学院,成都610500 [3]重庆大学数学与统计学院,重庆401331

出　　处：《计算机工程与应用》2013年第22期30-32,共3页Computer Engineering and Applications

基　　金：重庆市自然科学基金（No.2009BB3185）;中央高校基本科研业务费资助（No.CDJXSl0100029,No.CDJXSlll00026）.

摘　　要：混沌系统的全局指数吸引集在混沌的控制和同步之中起着非常重要的作用。首先给出了Bloch混沌系统的动力系统模型，然后借助一个适当的Lyapunov函数和最优化理论，研究了这个混沌系统的全局指数吸引集，得到了它的全局指数吸引集Q。可以断定轨线从吸引集Q外进入吸引集Q的速率是以指数速率，并且得到了该速率估计的表达式。通过计算机模拟验证了计算理论的可行性。The globally exponentially attractive set for a chaotic system is important in chaos control, chaos synchronization find its applications. The globally exponentially attractive set of the bloch chaotic system is investigated via constructing a Lyapunov function and optimation theory. The globally exponentially attractive set Q for this system is derived. Furthermore, it can be con- cluded that the rate of the trajectories of the system going from the exterior of the set D to the interior of the set D is an exponen- tial rate. The estimate of the trajectories rate is also obtained. Numerical simulations are presented to show the effectiveness of the proposed scheme.

关 键 词：Bloch混沌系统 全局指数吸引集 数值仿真 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]