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分形和混沌系统的仿真
引用本文:王洪海,傅廷亮,李菊芳. 分形和混沌系统的仿真[J]. 吉首大学学报(自然科学版), 2012, 33(4): 45-48. DOI: 10.3969/j.issn.1007-2985.2012.04.010
作者姓名:王洪海  傅廷亮  李菊芳
作者单位:(安徽三联学院信息与通信技术系,安徽 合肥 230601)
基金项目:安徽高等学校省级自然科学研究项目
摘    要:对利用计算机研究分形图形技术进行了一些实践.研究了分形图形中的2种生成方法,即DLA模型和洛仑兹吸引子.通常在理解洛仑兹吸引子和一些奇异吸引子如何构成有趣的运动轨迹是困难的,通过计算机软件对混沌吸引子进行研究,并使其运动轨迹可视化对人们认识其内在实质极有帮助.用Delphi语言设计的分形参数化绘图软件是研究分形图形的有力工具,通过计算机仿真,归纳筛选出决定其形态的主要参数.

关 键 词:分形  混沌  吸引子  参数  仿真  

Computer Simulation of Fractal and Chaos System
WANG Hong-hai,FU Ting-liang,LI Ju-fang. Computer Simulation of Fractal and Chaos System[J]. Journal of Jishou University(Natural Science Edition), 2012, 33(4): 45-48. DOI: 10.3969/j.issn.1007-2985.2012.04.010
Authors:WANG Hong-hai  FU Ting-liang  LI Ju-fang
Affiliation:(Department of Information and Communication,Anhui Sanlian University,Hefei 230601,China)
Abstract:Fractal graphics techniques are studied through computer simulation.After the analysis of theories of fractal graphics,two generating methods are proposed:DLA model and Lorenz attractors.It is usually difficult to understand how Lorenz attractors and strange attractors form interesting moving tracks.By studying chaos attractors and visualizing their tracks with the help of software,one can understand its nature more deeply The Parametric Design for Fractal Graphics described by Delphi is a useful tool for fractal graphics analysis,which screens out main parameters that determine its morph by means of computer simulating.
Keywords:fractal  chaos  attractor  parameter  simulating
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