%0 Journal Article
%T A new piecewise nonlinear chaotic map and its performance<br>一种新的分段非线性混沌映射及其性能分析
%A Zhang Xue-Feng
%A Fan Jiu-Lun
%A <br>张雪锋
%A 范九伦
%J 物理学报
%D 2010
%I 
%X Properties of logistic chaotic map is studied, and it is pointed out that phase space is not ergodic when parameters of the chaotic system change. Based on these analysis, a piecewise logistic chaotic map is constructed. The bifurcation diagram and Lyapunov exponent of logistic and piecewise logistic map are studied, and the properties of randomicity, correlation coefficient and power spectrum etc. of the sequences generated by these two maps are analyzed experimentally. A new performance evaluation index for chaotic system, the bifurcation iteration time, is defined. Simulation results show that the defined piecewise logistic map is not only ergodic in phase space, and its corresponding chaotic performance evaluation indices are also better.
%K linear feedback shift register
%K chaotic system
%K pseudo-random sequence
%K randomicity<br>线性反馈移位寄存器
%K 混沌系统
%K 伪随机序列
%K 随机性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=FE25ED785A5E7234435B392834FC48D2&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=E158A972A605785F&sid=516C537CEEC0FAC3&eid=A3156C1F05B10DD1&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=19