强子物理中质量证认粒子的〈p⊥(N)〉-N/〈N〉动力学关联(英文)

由于存在几个强子发射源，做动量截除后，对于固定点的反常维度γＤ（ζ※Ｒ），γＢ（ζ※Ｒ），π介子、Ｋ介子与质子反质子的动力学标度关联〈ｐ⊥（Ｎ）〉Ｎ／〈Ｎ〉成立．动量的截除技巧必需是迭代的，这是由于非线性关联〈Ｎｐ（Ｎ）〉Ｎ／〈Ｎ〉，〈Ｎｐ（ｐ⊥）〉ｐ⊥／〈ｐ⊥〉，〈ＮＫ（ｐ⊥）〉ｐ⊥／〈ｐ⊥〉与〈ＮＫ（Ｎπ）〉Ｎπ／〈Ｎπ〉存在的缘故．

Functional Connectivity Difference Detected in Bilateral Occipital Lobes Between the Abacus Experts and Control Groups: Using Nonlinear Processing Method

Objective:This paper is to investigate functional connectivity differences between the abacus experts and control groups by using nonlinear processing method spatiotemporal Lyapunov exponent.Methods:11 right-handed healthy control children and 12 abacus children were undergone functional magnetic resonance imaging(fMRI).After preprocessing fMRI data with SPM,linear and nonlinear methods for connectivity analysis were both employed.Results:Connectivity differences between the two groups were statistically P<0.05 by the correlation method,while the P value by the nonlinear method were P<0.01.Conclusion:There are significant differences between the two groups in functional connectivity of bilateral occipital lobes.The nonlinear method proposed here seems to be more specific compared with the common linear correlation method.

Measuring Nonlinear Dependence Between Time Series Based on Correlation Dimension

In this paper, it is proved that the correlation dimension estimate of a nonlinear dynamical system with its multivariate observation series is the same as that with its univariate observation series. Based on this result, an inference method is presented, and the Nonlinear Dependence Coefficient is defined. This method is designed for testing nonlinear dependence between time series, and can be used in economic analysis and forecasting. Numerical results show the method is effective.