Classification of Symmetric Circulants of Degree 4

4-tegular symmetric circulant digraphs and graphs are classified in this paper.     

Turbulent Electrochemical Noise: A Theoretical Analysis in the Frequency–Potential Coordinates

Spectral density of random alternating current, which is induced by turbulent pulsations of electrolyte velocity in a cell, is theoretically analyzed within the Ershler–Randles charge transfer model in the Nernst diffusion layer approximation. The effect of electrode potential on the spectral current density is analyzed at various frequencies of hydrodynamic pulsations.     

4度对称循环图的分类(英文)

本文刻划了所有4度有向和无内循环图．     

On the classification of nonlinear control systems

We study equivalence of nonlinear control systems and obtain a classification for some types of affine control systems.     

Benzene oxidation at boron-doped diamond anode: An electrochemical-impedance spectroscopy study

Benzene oxidation at boron-doped diamond anode in 1 M KCl aqueous solution is studied by electrochemical-impedance spectroscopy method. The measurements of differential capacitance and anodic current showed that in the ideal polarizability region benzene does not adsorb at the diamond electrode (or its adsorption does not affect the electrode capacitance). At more positive potentials adsorption of an inter-mediate of the benzene oxidation occurs, which partially blocks the electrode surface and results in decrease of anodic current. Analysis of the shape of the complex-plane plots of impedance spectra points out to diffusion of part of the adsorbed intermediate into solution.     

Development of radiation medicine at DLNP, JINR

The Dzhelepov Laboratory of Nuclear Problems’ activity is aimed at developing three directions in radiation medicine: 3D conformal proton therapy, accelerator techniques for proton and carbon treatment of tumors, and new types of detector systems for spectrometric computed tomography (CT) and positron emission tomography (PET). JINR and IBA have developed and constructed the medical proton cyclotron C235-V3. At present, all basic cyclotron systems have been built. We plan to assemble this cyclotron at JINR in 2011 and perform tests with the extracted proton beam in 2012. A superconducting isochronous cyclotron C400 has been designed by the IBA-JINR collaboration. This cyclotron will be used for radiotherapy with proton, helium and carbon ions. The ¹²C⁶⁺ and ⁴He²⁺ ions will be accelerated to an energy of 400 MeV/amu, the protons will be extracted at the energy 265 MeV. The construction of the C400 cyclotron was started in 2010 within the framework of the Archarde project (France). Development of spectrometric CT tomographs may allow one to determine the chemical composition of a substance together with the density, measured using traditional CT. This may advance modern diagnostic methods significantly. JINR develops fundamentally new pixel detector systems for spectrometric CT. The time-of-flight (TOF) system installed in the positron emission tomograph (PET) permits essential reduction in the detector noise from occasional events of different positron annihilations. The micropixel avalanche photodiodes (MAPDs) developed at JINR allow a factor of 1.5 reduction in the resolution time for the PET TOF system and suppression of the noise level as compared to commercial PET. The development of a combined PET/MRI is of considerable medical interest, but it cannot be made with the existing PET tomographs based on detectors of compact photomultipliers due to strong alternating magnetic field of MRI. Change-over to detectors of micropixel avalanche photodiodes permits making a combined PET/MRI.     

Application of Differential-Geometric Methods of Control Theory to the Theory of Partial Differential Equations. I

Differential Equations - We consider the application of differential-geometric and algebraic methods of the theory of dynamical control systems to the theory of partial differential equations.     

Reduction of underdetermined systems of ordinary differential equations: IV

We study the problem on the decomposition of underdetermined systems of ordinary differential equations linear in the derivatives. Decomposition permits one to reduce the construction of solutions of the original system to the successive construction of solutions of systems that contain fewer unknowns and equations.     

一些运算图的Wiener极性指数(英文)

图G=(V,E)的Wiener极性指数定义为G中距离为3的无序点对的个数.文中给出了广义hierarchical积图、笛卡尔积图及F-和图的Wiener极性指数运算公式.同时也给出了两个图的Kronecker积图和复合图的Wiener极性指数运算公式.