摘 要:
分析了一个新混沌系统中混沌吸引子的形成机制,研究表明这类混沌吸引子是由2个简单的混沌吸引子通过一个镜像映射相互融合而成的复合结构.利用线性负反馈法将混沌控制到平衡点,根据Routh-Hurwitz稳定性条件获得了达到控制目标时反馈参数所满足的条件.基于Mathematica程序,用数值方法验证了以上方法的有效性.[著者文摘]

文章出处:
《西北师范大学学报:自然科学版》-2008年44卷1期 -34-37页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1001-988X(2008)01-0034-04
相关文章:
Forming mechanism of chaotic attractor and controlling chaos in a new chaotic system
DOU Fu-quan, SUN Jian-an, DUAN Wen-shan, LU Ke-pu (College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China)
Abstract:
The forming mechanism of a new chaotic attractor is investigated, the results show that the new chaotic attractor has a compound structure, which is obtained by merging together two simple attractors after performing a mirror operation. Furthermore, a linear feedback method is used to suppress chaos to unstable equilibrium. The Routh-Hurwitz criterion is applied to study the conditions of the asymptotic stability of the controlled chaotic system. Based on Mathematica program, numerical simulations are presented to demonstrate the effectiveness of these methods.[著者文摘]
Key words:
chaotic system; forming mechanism; feedback method; controlling chaos
基金资助:
国家自然科学基金资助项目(10575082);甘肃省自然科学基金资助项目(3ZS061-A25-014)

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