Detecting high-dimensional determinism in time series with application to human movement data

We numerically investigate the ability of a statistic to detect determinism in time series generated by high-dimensional continuous chaotic systems. This recently introduced statistic (denoted V_E2) is derived from the averaged false nearest neighbors method for analyzing data. Using surrogate data tests, we show that the proposed statistic is able to discriminate high-dimensional chaotic data from their stochastic counterparts. By analyzing the effect of the length of the available data, we show that the proposed criterion is efficient for relatively short time series. Finally, we apply the method to real-world data from biomechanics, namely postural sway time series. In this case, the results led us to exclude the hypothesis of nonlinear deterministic underlying dynamics for the observed phenomena.     

风沙运动的电场-流场耦合模型及气固两相流数值模拟

沙尘暴和尘卷风等风沙运动的静电场是空气流场中沙粒间的碰撞摩擦带电及沙粒粒径的分层效应引起的, 本文耦合沙粒摩擦荷电模型和风沙运动气固两相流模型, 提出了离散单元法与计算流体动力学结合的数值方法. 数值模拟计算表明电荷呈中性的沙粒临界直径为300 μm; 在充分发展的水平风沙流中, 细小的沙粒带负电, 较大直径的沙粒带正电, 所模拟的沙粒带电的荷质比及水平风洞试验段的电场强度与实验测量值一致, 验证了风沙运动的电场-流场耦合模型及数值计算方法的合理性. 本文基于沙粒摩擦荷电机理的风沙运动气固两相流模型提供了理解风沙运动静电场产生的一种物理机理.     

On discrete maximum principle

A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g. an optimality condition for singular controls are given.     

用近红外组织血氧参数无损监测仪进行运动人体研究

利用我国自主生产的近红外组织血氧参数无损监测仪对8名中长跑运动员在功率自行车上作等级递增负荷运动时, 大腿股四头肌组织中肌氧含量的变化进行监测与分析, 同时测量运动员的血乳酸浓度、血容量和心率的变化。结果显示肌氧含量与运动负荷、血乳酸、血容量、心率密切相关(p<0.01)。对一人经过多次测定肌氧含量和血乳酸浓度,结果呈规律性的下降和上升,每次之间数值的横向比对,没有明显变化。由此表明,可以根据运动时骨骼肌中肌氧含量的变化来判断受试者所能承受的运动强度和在对应强度下所对应的血乳酸浓度以及肌氧下降的拐点所对应的血乳酸上升的拐点。通过调查,了解NIRS 技术在运动领域中的研究及应用的现状,分析存在的主要问题和今后的研究趋向。目的在于使大家通过对NIRS技术的不断了解,认识到我国自主生产的近红外组织血氧参数无损监测仪所测的肌氧含量指标,作为测定运动氧代谢能力是一项敏感的、无损的、实时可靠的指标, 与传统有创的、离体的、繁琐的检测手段相比较具有不可替代的优势。     

NUMERICAL SIMULATION OF WIND-BLOWN SAND MOVEMENT BASED ON SPH

运用光滑粒子流体动力学(smoothed particles hydrodynamics, SPH)方法对沙粒和气流的相互耦合运动特性进行了分析,研究提出了风沙流的SPH数值方法并进行了数值模拟. 首先提出了风沙流的SPH建模方法和基本理论,建立了风沙流动的SPH数值模拟平台. 其次通过建立风沙流的SPH 模型并施加边界条件,对自然风作用下沙粒的运动情况进行了数值模拟,详细分析了沙粒运动轨迹及特性,最后通过与相关研究成果对比分析,验证了完善后的SPH方法有效性. 通过考虑气流场的可变性,在风沙流SPH计算模型中引入了加载(起风)和卸载(停风)方式,观察并对比分析了沙粒的运动轨迹和特性. 为进一步研究风沙流的实时动态非线性行为提供了SPH理论基础和数值分析方法.     

雷诺数效应对翼型抖振特性的影响

飞行器抖振是一种非线性气动弹性问题,当飞行器进入抖振阶段时,将会对飞行器的性能产生严重影响。而在跨声速条件下,激波附面层相互作用会诱导机翼抖振。本文开展了跨声速条件下翼型抖振特性雷诺数效应的实验研究,揭示了翼型跨声速抖振起始迎角、激波运动前缘边界、频谱特性、抖振频率与雷诺数变化的基本规律。结论如下:雷诺数变化会导致抖振起始边界的改变,对抖振起始迎角下的功率谱密度峰值有明显影响;随着雷诺数的增大,激波运动的前缘后移。雷诺数变化对抖振频率有明显影响,随着马赫数增大,雷诺数效应增强。     

Fractal growth kinematics abstracted from snowflakes: topological evolution

Based on the kinematic viewpoint, the concept of proportional movement is abstracted to explain the strange behaviors of fractal snowflakes. A transformation group for proportional movement is defined. Under the proportional movement transformation groups, necessary and sufficient conditions for self-similarity of multilevel structures are presented. The characteristic topology of snowflake-like fractal patterns, identical to the topology of ternary-segment fractal line, is proved. Moreover, the topological evolution of N-segment line is explored. The concepts of limit growth and infinite growth are clarified,and the corresponding growth conditions are derived. The topological invariant properties of N-segment line are exposed. In addition, the proposition that the topological evolution of the N-segment line is mainly controlled by the topological invariant N is verified.     

考虑柔性关节的机械臂自适应运动控制策略研究

具有柔性关节的轻型机械臂因其自重轻、响应迅速、操作灵活等优点,取得了广泛应用。针对具有柔性关节的机械臂系统的关节空间轨迹跟踪控制系统动力学参数不精确的问题,提出一种结合滑膜变结构设计的自适应控制器算法。通过自适应控制的思想对系统动力学参数进行在线辨识,并采用Lyapunov方法证明了闭环系统的稳定性。仿真结果表明,该控制策略保证了机械臂系统对期望轨迹的快速跟踪,具有良好的跟踪精度,系统具有稳定性。     

Direct observation of λ-DNA molecule reversal movement within microfluidic channels under electric field with single molecule imaging technique

The electrodynamic characteristics of single DNA molecules moving within micro-/nano-fluidic channels are important in the design of biomedical chips and bimolecular sensors. In this study, the dynamic properties of λ-DNA molecules transferring along the microchannels driven by the external electrickinetic force were systemically investigated with the single molecule fluorescence imaging technique. The experimental results indicated that the velocity of DNA molecules was strictly dependent on the value of the applied electric field and the diameter of the channel. The larger the external electric field, the larger the velocity, and the more significant deformation of DNA molecules. More meaningfully, it was found that the moving directions of DNA molecules had two completely different directions:(i) along the direction of the external electric field, when the electric field intensity was smaller than a certain threshold value;(ii) opposite to the direction of the external electric field, when the electric field intensity was greater than the threshold electric field intensity.The reversal movement of DNA molecules was mainly determined by the competition between the electrophoresis force and the influence of electro-osmosis flow. These new findings will theoretically guide the practical application of fluidic channel sensors and lab-on-chips for precisely manipulating single DNA molecules.     

高功率微波作用下介质窗表面电子运动2维仿真

建立了真空中高功率微波作用下介质窗表面电子运动2维仿真模型,充分考虑了微波电磁场及介质表面静电场等影响因素。通过对不同电子出射初始角度和微波场参数(电场幅值、频率及电子出射时电场相位)对电子运动状态影响的仿真分析,得到了二次电子倍增过程中电子在复合场下的运动轨迹、电子重新返回介质表面的撞击能量及返回时间等状态参数,获得了电子运动状态参数随电子出射角度和微波场参数的变化规律。研究发现:电子出射角度对其运动状态有显著影响,电子存在运动轨迹最大的某一出射角度,该角度下电子拥有最大的撞击能量;微波电场幅值的增加将使电子撞击能量增加,返回时间减小,微波电场相位的变化使电子的撞击能量和返回时间呈周期振荡,这从本质上解释了电子数量在二次电子倍增过程中以微波频率两倍周期振荡的原因;随着微波频率的增加电子将由简单的类抛物线运动转变为复杂的振荡运动。