摘要
借助非线性特征研究工具构造了二维含有理分式离散映射,然后运用最大Lyapunov指数谱和分岔图研究该二维有理分式离散映射的动力学行为,最后利用改进形式的小波函数构造压缩映射,对二维有理分式混沌映射进行了有效的混沌控制.通过理论分析和数值模拟,验证了该混沌控制方法的实用性和有效性.
A two-dimensions discrete chaotic map with rational fractionation is constructed by nonlinear characteristics tools. Then, its dynamic behaviors is studied with the largest Lyapunov exponents spectrum and global bifurcation diagram. Finally, the chaotic attractor can be controlled effectively and fleetly by nonlinear contraction maps, which are composed of improved wavelet function; form. The utility and validity of this new method is validated with theory analysis and numerical simulation.
出处
《延边大学学报（自然科学版）》
CAS
2014年第3期240-244,共5页
Journal of Yanbian University（Natural Science Edition）
基金
甘肃省高等学校科研项目(2013A-135)
甘肃省自然科学基金资助项目(3ZS-051-A25-030
3ZS-042-B25-049)
关键词
有理分式
离散混沌映射
小波变换
压缩映射
混沌控制
rational fractionation
discrete chaotic maps
wavelet transformation
contraction maps
chaos control
