| 3x+1推广函数T(x)不动点的存在区域分析与数值算法 |
| |
| 引用本文： | 刘帅,车翔玖,王钲旋.3x+1推广函数T(x)不动点的存在区域分析与数值算法[J].电子学报,2011,39(10):2282-2287. |
| |
| 作者姓名： | 刘帅 车翔玖 王钲旋 |
| |
| 作者单位： | 吉林大学计算机科学与技术学院,吉林长春,130021 |
| |
| 基金项目： | 国家自然科学基金(No.60773098/F020103) |
| |
| 摘 要： | 3x+1推广函数T(x)的不动点性质及存在区域分析是分形中的一个重要研究问题.T(x)是结构复杂的超越函数,其在复平面上的不动点难于求解,不动点性质难于估计,这成为进一步研究T(x)动力系统的一个障碍.首先通过T(x)的拓扑不变性,给出了T(x)在复平面上存在不动点的构造性证明,分析了不动点的存在区域及其性质.根据存在...
|
| 关 键 词： | 分形 3x+1推广函数 不动点 存在区域 逃逸时间 数值算法 |
| 收稿时间： | 2010-10-12 |
Existence Domain Analysis and Numerical Algorithm of Fixed Point for Generalized 3x+1 Function T(x) |
| |
| LIU Shuai,CHE Xiang-jiu,WANG Zheng-xuan.Existence Domain Analysis and Numerical Algorithm of Fixed Point for Generalized 3x+1 Function T(x)[J].Acta Electronica Sinica,2011,39(10):2282-2287. |
| |
| Authors: | LIU Shuai CHE Xiang-jiu WANG Zheng-xuan |
| |
| Affiliation: | LIU Shuai,CHE Xiang-jiu,WANG Zheng-xuan(College of Computer Science and Technology,Jilin University,Changchun,Jilin 130021,China) |
| |
| Abstract: | For generalized 3x+1 function T(x),the feature of fixed points and their existence-domain analysis is an important problem in fractal.T(x) is a complex transcendental function and its fixed point in C-plane is hardly to solve.Meanwhile,the feature of fixed point is difficult to analyze.All these become an obstacle for the further study of T(x) dynamic system.In this paper,Because of the topological invariance of T(x),we constructively proved its fixed point in C-plane firstly.Then we give the analysis for t... |
| |
| Keywords: | fractal generalized 3x 1 function fixed point existence domain escape time numerical algorithm |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《电子学报》浏览原始摘要信息 |
|
点击此处可从《电子学报》下载全文 |
