一个广义立方映像系统  

A generalized cubic map

作　　者：张晓明[1] 王赫[1] 彭建华[1] 

机构地区：[1]深圳大学物理科学与技术学院,深圳518060

出　　处：《深圳大学学报（理工版）》2009年第3期327-330,共4页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(70571053);深圳大学青年科学基金资助项目(200846)

摘　　要：构造一个仅含单一非线性立方项且维数可变的广义映像系统,该系统正性Lyapunov指数的个数随其维数增加而增加,可从低维混沌向高维超混沌过渡.利用Jury准则,解析广义立方映像系统从2维到4维的情况下,其不动点附近的局部稳定性,通过数值计算揭示该系统的动力学特征和规律.A generalized cubic map with alterable dimension was formulated. This map compromises only one nonlinear cubic term. The number of its positive Lyapunov exponents is increased with the growth of the map dimension accompanied by the transition from chaos to hyperchaos state. The stability of the cubic map from two dimensions to four dimensions was analyzed using the Jury rules. The dynamical characteristic of this cubic map was also deter- mined by numerical computations.

关 键 词：立方映像 混沌 超混沌 LYAPUNOV指数 Jury准则 

分 类 号：O415.5[理学—理论物理] O415.6[理学—物理]