Homoclinic Bifurcations in Symmetric Unfoldings of a Singularity with Three-fold Zero Eigenvalue

In this paper we study the singularity at the origin with three-fold zero eigenvalue forsymmetric vector fields with nilpotent linear part and 3-jet C^∞-equivalent to y δ/δx zδ/δy ax^2yδ/δz with a≠0. We first obtain several subfamilies of the symmetric versal unfoldings of this singularityby using the normal form and blow-up methods under some conditions, and derive the local and global bifurcation behavior, then prove analytically the existence of the Sil‘nikov homoclinic bifurcation for some subfamilies of the symmetric versal unfoldings of this singularity, by using the generalized Mel‘nikov methods of a homoclinic orbit to a hyperbolic or non-hyperbolic equilibrium in a highdimensional space.     

Numerical blow‐up for the porous medium equation with a source

We study numerical approximations of positive solutions of the porous medium equation with a nonlinear source, where m > 1, p > 0 and L > 0 are parameters. We describe in terms of p, m, and L when solutions of a semidiscretization in space exist globally in time and when they blow up in a finite time. We also find the blow‐up rates and the blow‐up sets, proving that there is no regional blow‐up for the numerical scheme. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004     

Infimum Properties Differ in the Weak Truth-table Degrees and the Turing Degrees

Abstract We prove that there are non-recursive r.e. sets A and C with A < _T C such that for every set . Both authors are supported by “863” and the National Science Foundation of China     

BLOWUP OF SOLUTIONS TO THE CAUCHY PROBLEM FOR NONLINEARWAVE EQUATIONS

gi. IntroductionThis paper deals with solutionS of certain nonlinear wave equationS Of the formcorresponding to Antial conditionSwuersis the wave OPerstor.we are interested in showing the ~ up" Of solutions to (1.1)--(1.2). For that, wereIf ac ~ 1)(n ~ 1) > 2, global solutions of ~ equation subject to very general perturbationsof order p exist Provided the initial data are swhciently small (see I6] and references therein).We are also interested in esthaattw the take when "blow up" occurs. …     

针对任意位的CRC并行化方法及编解码器的实现

介绍了一种基于查表法的针对任意位数据的任意位CRC并行计算的原理及算法，克服了现有的两类CRC并行算法延时大、毛刺多或仅适于2^n位数据的2^n位CRC校验的缺点。该方法使并行CRC校验的传输数据位数与CRC码位数之间的选择更灵活，并且在加速比、功耗和面积等方面具有优势。     

Study of frame-rate up conversion based on H.264

In this study, a low complexity frame-rate up conversion method using compressed domain information for H.264 decoder is proposed. In the proposed scheme, the motion vectors (MVs) are estimated using constant acceleration motion model, and the MVs regarded as no credibility are corrected, and the interpolation method is applied on the basis of the macroblock (MB) coded types. Applied to the H.264 decoder, the proposed method provides high quality interpolation frames and an obvious decrease of the block artifacts.     

无纸化考试数据库设计方案改进研究

在充分研究已有数据库设计方案的基础上,提出自己的完整优化设计方案:把数据库和数据表进行优化整合,对字段也提出自己的改进设计方案,并给出采用该数据库对样卷和学生答卷的处理方法。经实践证明,采用优化后的设计方案,不仅优化了数据存储结构,提高了数据库的访问速度,从一定程度上使算法的编写更加容易,从而大大提高了整个系统的效率和性能。     

遗传算法在弹道反推中的应用

阻力系数是弹道计算中的关键一环,它的准确与否对弹道计算精度有着很大影响.遗传算法是通过个体(基因)的遗传和变异使群体进化到解空间中越来越好的区域,从而快速有效地得到满足精度要求的结果.讲述了应用遗传算法反推阻力系数的方法,根据大量的结果比较表明这种方法得到的阻力系数精度较高.