| 分形插值曲线上的图能量 |
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| 引用本文： | 张蓓蓓,冯志刚.分形插值曲线上的图能量[J].河北大学学报(自然科学版),2011,31(2):122-125. |
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| 作者姓名： | 张蓓蓓 冯志刚 |
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| 作者单位： | 江苏大学,理学院,江苏,镇江,212013 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 从分形插值曲线上图序列的生成入手,通过定义初始图能量的概念,给出各层的图能量表达式.应用这种定义式并且通过调和扩充算法和归纳法对分形插值曲线上图能量间的关系进行了研究,从而得到重整能量的概念,由此对插值曲线上的电路作出了解释.
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| 关 键 词： | 分形插值曲线 图能量 重整能量 |
Graph Energy on Fractal Interpolation Curve |
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| ZHANG Bei-bei,FENG Zhi-gang.Graph Energy on Fractal Interpolation Curve[J].Journal of Hebei University (Natural Science Edition),2011,31(2):122-125. |
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| Authors: | ZHANG Bei-bei FENG Zhi-gang |
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| Institution: | (Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
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| Abstract: | Graph series on fractal interpolation curve is studied first.Based on that,expression of the graph energy at every layer is given by defining a concept of initial graph energy.Using the definition and harmonic expansion algorithm,the relationship between every layer is got inductively.Then a concept of renormalized energy is given naturely,thus there's an interpretation of circuits on fractal interpolation. |
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| Keywords: | fractal interpolation curve graph energy renormalized energy |
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