收稿日期: 2012-08-01
修回日期: 2012-11-06
网络出版日期: 2013-03-01
基金资助
国家自然科学基金资助项目( 21310018, 61077030) ; 广东省科技计划国际合作项目( 2010B050900016) ; 广东省自然科学基金资助项目( 9151170003000013)
A New Three-Dimension Chaotic System with an Absolute Item
Received date: 2012-08-01
Revised date: 2012-11-06
Online published: 2013-03-01
Supported by
国家自然科学基金资助项目( 21310018, 61077030) ; 广东省科技计划国际合作项目( 2010B050900016) ; 广东省自然科学基金资助项目( 9151170003000013)
关键词: 混沌; 吸引子; Lyapunov 指数; Poincaré 截面; 分岔图
刘金梅 丘水生 . 含一个绝对值项的新三维混沌系统[J]. 华南理工大学学报(自然科学版), 2013 , 41(4) : 137 -141 . DOI: 10.3969/j.issn.1000-565X.2013.04.023
In this paper,a new three-dimension chaotic system is constructed by adding an absolute item in thesystem,and the dynamic properties of the new system are investigated.Then,by virtue of the chaos theory and thenumerical simulation,the equilibrium point,the Lyapunov dimension,the Poincaré section,the largest Lyapunovexponent spectrum and the bifurcation diagram of the system are analyzed.It is indicated that the proposed threedimensionautonomous system exhibits chaotic features in a wide parameter range and is of fractional dimension,multiple unstable equilibrium points and layered Poincaré mapping.Moreover,Owing to its complex dynamic properties,the system can generate four-wing chaotic attractors.
Key words: chaos; attractor; Lyapunov exponent; Poincaré section; bifurcation diagram
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