Local Prediction of Chaotic Time Series Based on Support Vector Machine

Based on phase space delay-coordinate reconstruction of a chaotic dynamics system, we propose a local prediction of chaotic time series using a support vector machine （SVM） to overcome the shortcomings of traditional local prediction methods. The simulation results show that the performance of this proposed predictor for making onestep and multi-step prediction is superior to that of the traditional local linear prediction method and global SVM method. In addition, it is significant that its prediction performance is insensitive to the selection of embedding dimension and the number of nearest neighbours, so the satisfying results can be achieved even if we do not know the optimal embedding dimension and how to select the number of nearest neighbours.     

Persistent Current in a Mesoscopic Ring Side-Attached with a Quantum Dot

We theoretically investigate properties of the ground state of a closed dot-ring system with a magnetic flux in the Kondo regime by means of a tight-banding Anderson Hamiltonian, using the Slave-Boson mean-field approach. The persistent current shows interesting dependences on the parity and on the size of the system. The signature of Kondo resonance at ζk/L = 0.15 is expected to be observed experimentally in the future. With the intensity of the coupling tD changes from weak to strong, the properties of the system changes largely, which are different from the in-line one because of the attached dot.     

Output Intensity Variations of the Laser Used in a Prism Coupling System and Its Application

The output intensity variations of the laser used in a prism coupling system are observed and found to be induced by the external optical feedback, which comes from the reflection on the prism. The intensity variations are explained with laser theory. The trough in the intensity variation corresponds to the position of the prism when the output light beam propagates perpendicularly to the prism. Based on the trough a new method for rotating the prism and reading out the step numbers is proposed, by which the angle 0° in the system need not to be calibrated. It is proven by experiment that the new method would improve the accuracy of the refractive index up to ±0.00001 and thickness to ±1 nm.     

有限自由度系统的定域Lie对称性和守恒量

研究有限自由度系统定域Lie对称性的正问题和逆问题。给出了定域Lie对称性的定义、确定方程、结构方程和守恒量。进一步从定域Lie对称性导出在有限连续群无限小变换下的Lie对称性。最后给出一个例子去说明这些结果。     

Adaptive synchronization of a critical chaotic system

This paper further investigates the synchronization problem of a new chaotic system with known or unknown system parameters. Based on the Lyapunov stability theory, a novel adaptive control law is derived for the synchronization of a new chaotic system with known or unknown system parameters. Theoretical analysis and numerical simulations show the effectiveness and feasibility of the proposed schemes.     

Generalized reduced-order synchronization of chaotic system based on fast slide mode

A new kind of generalized reduced-order synchronization of different chaotic systems is proposed in this paper. It is shown that dynamical evolution of third-order oscillator can be synchronized with the canonical projection of a fourth-order chaotic system generated through nonsingular states transformation from a cell neural net chaotic system. In this sense, it is said that generalized synchronization is achieved in reduced-order. The synchronization discussed here expands the scope of reduced-order synchronization studied in relevant literatures. In this way, we can achieve generalized reduced-order synchronization between many famous chaotic systems such as the second-order D\"{u}ffing system and the third-order Lorenz system by designing a fast slide mode controller. Simulation results are provided to verify the operation of the designed synchronization.     

桌上聚变装置

美国物理学家在一个简单的桌面装置中在室温条件下产生了核聚变．加州大学洛杉机分校（UCLA）的Brian Naranjio，Jim Gimzewski和seth Putteman使两个氘核碰撞，产生了α粒子、中子和能量（Nature,434：1115）．这种装置有可能用于便携式中子发生器或微型太空船的推进系统。但不能作为能源使用，因为这种装置所消耗的能量大于产生的能量．     

GdBCO超导体的顺磁性及低温下磁通分布的动态观测

本文研究了100～300K之间Gd1．8Ba2.4Cu3．4O7-δ（简写为GdBCO）超导体的顺磁性，对GdBCO的磁化强度随磁场和温度的变化分别在100K和0．1T进行了测试，GdBCO的顺磁性遵从朗之万顺磁性理论．在磁光显微镜下，低温12K场冷下，我们观察了从0mT～29mT磁通线进入GdBCO的超导体的过程，以及磁通线在GdBCO超导体中的分布。     

Y系超导螺管储能磁体的优化设计

磁体结构的好坏将直接关系到磁体的制造成本以及磁体能否正常运行.在磁体结构的优化设计中,选定磁体的体积为目标函数,在满足磁体储能,符合超导材料的B～J特性,尽量减小漏磁等条件下,使目标函数达到最小.文章选定新一带超导涂层导体YBCO为SMES线圈的制造材料,分析了Y系带材的材料特性,并采用大型有限元仿真软件ANSYS和磁体优化中常用的算法-模拟退火算法(simulated annealing)对SMES线圈进行优化仿真分析,得出最优的磁体结构.     

点电荷、线电荷、面电荷模型的电荷体分布函数

利用δ函数,导出了点电荷、线电荷和面电荷模型在直角坐标、球坐标和柱坐标下的电荷体分布函数表达式,对处理一些具体的物理问题时十分有用。