Nonlinear and Chaotic Analysis of a Financial Complex System
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摘要: 利用相位随机化的替代数据方法对中国商品期货市场某些品种特性进行了判定,此方法用于随机时序与非线性混沌时序所得的判据值有明显差异.并应用混沌时序的奇异值分解技术对混沌时序的噪声进行了剥离,将相空间分解为值域空间和虚拟的噪声空间,在值域空间内重构了原混沌时序.进一步采用建立在改进的一般约束随机化方法基础之上强扰动的方法再次判定.根据计算结果对商品期货市场的走势进行了分析,结果表明中国商品期货市场是具有明显非线性混沌特性的一类复杂非线性混沌系统.Abstract: A determination on the characteristics of futures market of commodity of China was presented by the method of the phase-randomized surrogate data.There was a significant difference in critical values obtained when this method was used in random timeseries and nonlinear chaotic timeseries.The technology of the singular value decomposition was used to reduce noise of chaotic timeseries and then the phase space of chaotic timeseries was decomposed to range space and null noise space, and the original chaotic timeseries in range space was restructured.The method of strong disturbance on the basis of the improved general constrained randomized method was further adopted to re-deternine.According to the calculated result an analysis on the trend of futures's market of commodity is made.The results indicate that the Chinese futures's market of commodity is a complicated nonlinear system with obvious nonlinear chaotic characteristic.
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