Dynamical Properties of a Perceptron Learning Process: Structural Stability Under Numerics and?Shadowing

In this paper two aspects of numerical dynamics are used for an artificial neural network (ANN) analysis. It is shown that topological conjugacy of gradient dynamical systems and both the shadowing and inverse shadowing properties have nontrivial implications in the analysis of a perceptron learning process. The main result is that, generically, any such process is stable under numerics and robust. Implementation aspects are discussed as well. The analysis is based on the theorem concerning global topological conjugacy of cascades generated by a gradient flow on a compact manifold without a boundary.     

Improved synthesis of dihydrothiophenes derivatives under ultrasound irradiation

A series of dihydrothiphenes derivatives were synthesized via the four‐component reaction of aldehyde, malononitrile, 1,3‐thiazolidinedione, and piperidine at room temperature under ultrasound irradiation. Compared with the conventional methods, the remarkable advantages of this method are operational simplicity, higher yield, and shorter reaction time. J. Heterocyclic Chem., (2011).     

Calix[4]arene nitroxide tetraradical and octaradical

1,3-Alternate calix[4]arene with para-phenylene spacers connecting nitroxide monoradicals and high-spin (S = 1) diradicals provides tetraradical and octaradical scaffolds that possess conformations with slow electron spin relaxation rates (1/T(1)). Such scaffolds may facilitate tuning of relaxation rates that are more favorable for MRI or DNP applications.     

Experimental and Theoretical Investigation of Vibrational Spectra of Coordination Polymers Based on TCE‐TTF

The room‐temperature infrared and Raman spectra of a series of four isostructural polymeric salts of 2,3,6,7‐tetrakis(2‐cyanoethylthio)‐tetrathiafulvalene (TCE‐TTF) with paramagnetic (Co^II, Mn^II) and diamagnetic (Zn^II, Cd^II) ions, together with BF₄^? or ClO₄^? anions are reported. Infrared and Raman‐active modes are identified and assigned based on theoretical calculations for neutral and ionized TCE‐TTF using density functional theory (DFT) methods. It is confirmed that the TCE‐TTF molecules in all the materials investigated are fully ionized and interact in the crystal structure through cyanoethylthio groups. The vibrational modes related to the C?C stretching vibrations of TCE‐TTF are analyzed assuming the occurrence of electron–molecular vibration coupling (EMV). The presence of the antisymmetric C?C dimeric mode provides evidence that charge transfer takes place between TCE‐TTF molecules belonging to neighboring polymeric networks.     

CO2 emission free co-generation of energy and ethylene in hydrocarbon SOFC reactors with a dehydrogenation anode

A dehydrogenation anode is reported for hydrocarbon proton conducting solid oxide fuel cells (SOFCs). A Cu-Cr(2)O(3) nanocomposite is obtained from CuCrO(2) nanoparticles as an inexpensive, efficient, carbon deposition and sintering tolerant anode catalyst. A SOFC reactor is fabricated using a Cu-Cr(2)O(3) composite as a dehydrogenation anode and a doped barium cerate as a proton conducting electrolyte. The protonic membrane SOFC reactor can selectively convert ethane to valuable ethylene, and electricity is simultaneously generated in the electrochemical oxidative dehydrogenation process. While there are no CO(2) emissions, traces of CO are present in the anode exhaust when the SOFC reactor is operated at over 700 °C. A mechanism is proposed for ethane electro-catalytic dehydrogenation over the Cu-Cr(2)O(3) catalyst. The SOFC reactor also has good stability for co-generation of electricity and ethylene at 700 °C.     

Upper tails for counting objects in randomly induced subhypergraphs and rooted random graphs

General upper tail estimates are given for counting edges in a random induced subhypergraph of a fixed hypergraph ℋ, with an easy proof by estimating the moments. As an application we consider the numbers of arithmetic progressions and Schur triples in random subsets of integers. In the second part of the paper we return to the subgraph counts in random graphs and provide upper tail estimates in the rooted case.     

Nonlinear vibrations and time delay control of an extensible slowly rotating beam

Nonlinear Dynamics - This paper investigates the time-varying formation tracking (TVFT) problem of multiple heterogeneous Euler–Lagrange agents (MHELAs) with predefined-time convergence...     

Noncommutative Circle Bundles and New Dirac Operators

We study spectral triples over noncommutative principal U(1) bundles. Basing on the classical situation and the abstract algebraic approach, we propose an operatorial definition for a connection and compatibility between the connection and the Dirac operator on the total space and on the base space of the bundle. We analyze in details the example of the noncommutative three-torus viewed as a U(1) bundle over the noncommutative two-torus and find all connections compatible with an admissible Dirac operator. Conversely, we find a family of new Dirac operators on the noncommutative tori, which arise from the base-space Dirac operator and a suitable connection.     

一种油介质开关振荡器研究

为了产生较高中心频率宽带高功率微波, 对一种填充变压器油作为绝缘介质的1/4波长开关振荡器进行了研究。首先对这种开关振荡器特性阻抗分布进行了分析;然后利用静态电场仿真结果和变压器油击穿实验数据, 分析了该振荡器的耐压能力;在此基础上, 利用CST软件对其瞬态工作特性进行了仿真, 考察了开关间隙击穿位置和间隙电压下降时间对产生阻尼正弦信号的峰值和频率的影响;最后介绍了该振荡器以一种方向系数为3的短螺旋天线作为辐射天线的实验测试结果, 结果表明, 该开关振荡器充电电压上升时间为15 ns时, 耐压达到-322 kV, 产生宽带高功率微波中心频率约360 MHz, 3 dB带宽约22%, 辐射因子170 kV。     

爆磁压缩发生器与高阻抗负载匹配调制电路

通过对以电容器替代爆磁压缩发生器的系统等效电路进行理论分析,对影响这种调制电路性能的关键问题及其解决方法进行了讨论。根据理论分析结果对调制电路进行了设计。在初步实验中,当用于去除电爆炸丝上附加电压的撬断开关保持断开时,变压器原边电流切断不彻底,电容负载上充电电压峰值为-264 kV;保持其他电路参数不变,而使撬断开关在电爆炸断路开关断开过程中闭合时,变压器原边电流切断彻底,在相同负载上充电电压峰值为-374 kV。实验结果验证了理论分析结果,并证明了采用这种调制电路能够实现爆磁压缩发生器与高阻抗负载匹配。