| 构造新结晶体群的平面对称动力系统 |
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| 引用本文： | 孙艳玲,陈宁.构造新结晶体群的平面对称动力系统[J].科技广场,2010(1):49-50. |
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| 作者姓名： | 孙艳玲 陈宁 |
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| 作者单位： | 沈阳建筑大学理学院,辽宁,沈阳,110168 |
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| 摘 要： | 将标准平面结晶体P1迭代公式中的自变量x,y用x3+c1,y3+c2替换,构造可视化平面动力系统.将原有的自变量的线性关系替换为自变量的非线性关系,提出了一种新的自变量的映射方法.并且运用蒙特卡罗搜索法寻找参数,运用李雅普诺夫指数来确定该动力系统的特性,绘制出该动力学系统的混沌吸引子和充满Julia集的图案。
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| 关 键 词： | 平面结晶体群 对称 混沌吸引子 充满Julia集 |
Construction of Dynamic System with Plane Symmetry from the Mapping with Crystallographic Group |
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| Sun Yanling,Chen Ning.Construction of Dynamic System with Plane Symmetry from the Mapping with Crystallographic Group[J].Science Mosaic,2010(1):49-50. |
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| Authors: | Sun Yanling Chen Ning |
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| Institution: | College of Science/a>;Shenyang Jianzhu University/a>;Liaoning Shenyang 110168 |
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| Abstract: | Construct visualized planar dynamic systems,the nonlinear item is substituted for the linear item x or y of crystallographic group iterative mapping.We construct a new iterative mapping.Monte Carlo method is used to find the parameter vectors in the parameter space.The Lyapunov exponent is used to judge the characteristics of dynamical systems.A great of chaotic attractors and filled-in Julia sets can be continuously tiled without gaps in the plane. |
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| Keywords: | Crystallographic Symmetry Chaotic Attractor Filled-in Julia Set |
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