一类含有对数项T系统的混沌特性分析

Analysis on logarithmic T system and its chaos characteristics

基于三维经典T混沌系统,构建了具有对数项T混沌系统。利用Matlab分析系统的分岔图、Lyapunov指数,0-1测试以及相图,从而表明新混沌系统对系统参数的敏感性。最后,为了进一步研究双参数变化对系统的影响,采用分岔空间图进行了对系统动力学的分析从而进一步揭示了系统的可实现性以及混沌特性。

In this paper, a Logarithmic T Chaotic system is constructed, based on 3D T chaotic systems. Analysis of bifurcation diagram, Lyapunov exponent,0-1test and Phase portraits of the system by using Matlab,which shows that the sensitivity of a new chaotic system to system parameters. Finally, in order to further study the influence of the double parameter change on the system, using space bifurca- tion diagram has carried on the analysis of system dynamics, which reveals the abundant dynamics characteristic and realization of the chaotic system to the further.