变形系统的混沌化研究  

Chaotization research in deformation system

作　　者：文鸿雁[1] 王成[1] 袁昌茂[2] 王新桥[1] 

机构地区：[1]桂林理工大学土木与建筑工程学院,广西桂林541004 [2]博罗县国土资源局,广东惠州516100

出　　处：《测绘科学》2011年第6期5-7,共3页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(41071294);广西科学基金资助项目(桂科基0991023);广西研究生教育创新计划资助项目(2009105960816M07)

摘　　要：变形体变形系统是一个动态的非线性复合系统。变形运动的混沌行为验证主要通过计算系统的Lya-punov指数的正负得出。本文通过对变形系统的动力方程的混沌化研究,验证了当系统为单一连续时间系统时,构造合适的状态矩阵,保证其特征值大于某一参数就能确保变形系统的混沌化,而如果系统是反馈系统,合理选择反馈参数一样能使系统走向混沌。Deformation system is an open and complex as well as dynamic nonlinear system. Lyapunov index is important in chaotic system, the positive and negative of Lyapunov index can tested the chaotic behavior of the deformation. This paper studied the system by the chaos of the dynamic equation, and concluded as follows： when the deformation system is single and continuous, through constructing the proper state matrix, and making sure its eigenvalue greater than a certain parameter, deformation system would become chaotization; while when the system is feedback, reasonably selecting feedback parameter also could enable the system into chaos.

关 键 词：变形系统 LYAPUNOV指数 混沌 反馈 

分 类 号：P258[天文地球—测绘科学与技术]