Globally exponentially attractive set of new chaotic system and its numerical simulation

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (11): 37-39.

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Globally exponentially attractive set of new chaotic system and its numerical simulation

YUAN Hong1, ZHANG Fuchen2

1.School of Science, Linyi University, Linyi, Shandong 276005, China
2.College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Online:2012-04-11 Published:2012-04-16

新混沌系统的全局指数吸引集及其数值模拟

袁红1，张付臣2

1.临沂大学理学院，山东临沂 276005
2.重庆大学数学与统计学院，重庆 401331

Abstract

Abstract: The estimate of the boundedness of a chaotic system is important in chaos control, chaos synchronization and its applications. A dynamical system model of 3D chaotic system is given. The globally exponentially attractive set of a new chaotic system is investigated via constructing a Lyapunov function and optimation theory. Its globally exponentially attractive estimate is got. Numerical simulations are presented to show the effectiveness of the proposed scheme.

Key words: chaotic system, globally exponentially attractive set, numerical simulations

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。给出了一个三维混沌系统的动力系统模型，借助一个适当的Lyapunov函数和最优化理论，研究了这个新混沌系统的全局指数吸引集，得到了它的全局指数吸引集估计。通过计算机模拟，数值模拟验证了计算理论的可行性。

关键词: 混沌系统, 全局指数吸引集, 数值仿真

YUAN Hong1, ZHANG Fuchen2. Globally exponentially attractive set of new chaotic system and its numerical simulation[J]. Computer Engineering and Applications, 2012, 48(11): 37-39.

袁红1，张付臣2. 新混沌系统的全局指数吸引集及其数值模拟[J]. 计算机工程与应用, 2012, 48(11): 37-39.

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Globally exponentially attractive set of new chaotic system and its numerical simulation

新混沌系统的全局指数吸引集及其数值模拟

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