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中文摘要：
将小波变换、多重分形和R/S分析法相结合,选择db4小波函数进行小波变换,利用分解与重构算法,从分形维数、非周期循环长度、奇异性指数、多重分形谱等方面探讨合肥市近54年来气温系统的动力学分形特性和演化规律,分析合肥市气温趋势的持续性、长期记忆性、统计自相似性和多重分形性。分析结果表明,合肥市气温变化过程是一个层次分明的过程,具有多标度结构且1月、8月、11月的分形维数较高,气温不规则程度高,复杂性高。
英文摘要：
This paper analyses the dynamic characteristics and evolutionary principle of Hefei＇s temperature over the past fifty-four years,it combine R/S analysis with wavelet transform,choosing db4 wavelet function,deconstruct and reconstruct the original data. It analyses the temperature based on multi-fractal analysis,discusses the stability,long-term memory,statistical self-similarity and multi-fractal of the temperature trend in Hefei from fractal dimension,non-periodic length of circulation,singular index,and multi-fractal spectrum. Analysis results show that the temperature change in Hefei whose level is clear has a multiple-scale structure,the fractal dimension of Janmary,August,November shows that the irregular degrees and the complexities of temperatures are higher than the others.
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