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E. A. Perdios V. S. Kalantonis M. N. Vrahatis 《Celestial Mechanics and Dynamical Astronomy》2002,84(3):231-244
We present an improved method for locating periodic orbits of a dynamical system of arbitrary dimension. The method first employs the characteristic bisection method (CBM) to roughly locate a periodic orbit, followed by the quadratically convergent Newton method to rapidly refine its position. The method is applied to the physically interesting example of the two degrees of freedom photogravitational problem, and shown to surpass the CBM algorithm and Newton's method alone. 相似文献
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V. S. Kalantonis E. A. Perdios A. E. Perdiou M. N. Vrahatis 《Celestial Mechanics and Dynamical Astronomy》2001,80(2):81-96
The accurate computation of families of periodic orbits is very important in the analysis of various celestial mechanics systems. The main difficulty for the computation of a family of periodic orbits of a given period is the determination within a given region of an individual member of this family which corresponds to a periodic orbit. To compute with certainty accurate individual members of a specific family we apply an efficient method using the Poincaré map on a surface of section of the considered problem. This method converges rapidly, within relatively large regions of the initial conditions. It is also independent of the local dynamics near periodic orbits which is especially useful in the case of conservative dynamical systems that possess many periodic orbits, often of the same period, close to each other in phase space. The only computable information required by this method is the signs of various function evaluations carried out during the integration of the equations of motion. This method can be applied to any system of celestial mechanics. In this contribution we apply it to the photogravitational problem. 相似文献
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Bellie Sivakumar Wesley W. Wallender William R. Horwath Jeffrey P. Mitchell Samuel E. Prentice Brian A. Joyce 《水文研究》2006,20(8):1723-1736
This study investigates the dynamic nature of rainfall observed at the Sustainable Agriculture Farming Systems (SAFS) site in California's Sacramento Valley, which was established to study the benefits of winter cover cropping in Mediterranean irrigated‐arid systems. Rainfall data of four different temporal scales (i.e. daily, weekly, biweekly, and monthly) are analysed to determine the dynamic nature of precipitation in time. In an arid climate with seasonal precipitation this has large implications for land and water management, both in the short term and in the long term. A nonlinear dynamic technique (correlation dimension method) that uses the phase‐space reconstruction and dimension concepts is employed. Bearing in mind the possible effects of the presence of zeros (i.e. no rain) on the outcomes of this analysis, an attempt is also made to compare the dynamic nature of all‐year rainfall and winter rainfall. Analysis of 15 years of data suggests that rainfall dynamics at this site are dominated by a large number of variables, regardless of the scales and seasons studied. The dimension results also suggest that: (1) rainfall dynamics at coarser resolutions are more irregular than that at finer resolutions; (2) winter rainfall has a higher variability than all‐year rainfall. These results are indeed useful to gain information about the complexity of the rainfall process at this site with respect to (temporal) scales and seasons and, hence, the appropriate model (high‐dimensional) type. However, in view of the potential effects of certain rainfall data characteristics (e.g. zeros, measurement errors, scale effects) on the correlation dimension analysis, the discussion also emphasizes the need for further verification, and possibly confirmation, of these results. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
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黄敏 《地震地磁观测与研究》2008,29(2):70-74
回顾了“RSFS”反馈式短周期地震计前期研究和设计,通过分析电子反馈网络存在的问题,提出了新的解决方案。新方案采用深度阻尼反馈环电路,减少需要精确选配的阻容元件,具有精简装配调试工序和节约工时的优点;新方案对地震计机械部分参数精度一致性要求降低,提高了部件互换性。新方案对地震计的动态范围、幅频特性在整个观测频带内保持平直,参数一致性带来益处,并可以降低地震计的制作成本。 相似文献
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