On bi-hamiltonian structure of some integrable systems on so*(4)

We classify all the quadratic Poisson structures on $so^*(4)$ and $e^*(3)$, which have the same foliation by symplectic leaves as the canonical Lie-Poisson tensors. The separated variables for the some of the corresponding bi-integrable systems are constructed.Comment: LaTeX with Amsfonts, 13 pages, corrected typo

On one integrable system with a cubic first integral

Recently one integrable model with a cubic first integral of motion has been studied by Valent using some special coordinate system. We describe the bi-Hamiltonian structures and variables of separation for this system.Comment: LaTeX with AMS fonts, 9 page

On maximally superintegrable systems

Locally any completely integrable system is maximally superintegrable system such as we have the necessary number of the action-angle variables. The main problem is the construction of the single-valued additional integrals of motion on the whole phase space by using these multi-valued action-angle variables. Some constructions of the additional integrals of motion for the St\"ackel systems and for the integrable systems related with two different quadratic $r$-matrix algebras are discussed. Among these system there are the open Heisenberg magnet and the open Toda lattices associated with the different root systems.Comment: 12 pages, LaTeX with AmsFont

Leonard Euler: addition theorems and superintegrable systems

We consider the Euler approach to construction and to investigation of the superintegrable systems related to the addition theorems. As an example we reconstruct Drach systems and get some new two-dimensional superintegrable Stackel systems.Comment: The text of the talk at International Conference Geometry, Dynamics, Integrable Systems, September 2-7, 2008, Belgrade, Serbia, LaTeX, 18 page

Integrable systems on the sphere associated with genus three algebraic curves

New variables of separation for few integrable systems on the two-dimensional sphere with higher order integrals of motion are considered in detail. We explicitly describe canonical transformations of initial physical variables to the variables of separation and vice versa, calculate the corresponding quadratures and discuss some possible integrable deformations of initial systems.Comment: 19 pages, LaTeX with AMS font

One invariant measure and different Poisson brackets for two nonholonomic systems

We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for which symplectic forms are different deformations of the square root from the corresponding invariant volume form. In both cases second Poisson bivectors are determined by $L$-tensors with non-zero torsion on the configurational space, in contrast with the well known Eisenhart-Benenti and Turiel constructions.Comment: 18 pages, LaTeX with AMSfont

Инновационный подход к утилизации автомобильных шин. Проблемы и перспективы

A new method of dissolution of the used car tires in the different organic solvents at elevated temperature and pressure was tried. An efficiency rating of swelling of the car tires' samples was found: optimal proportion of solvent, rubber, the time of effective swelling and pressure. As the result it was found out that the tire is entirely swelling under such conditions and there is an opportunity of easy recovery of the metal circlet and cord from it, which increases the rubber quality and facilitate the process of recycling of the car tires

Выбор инфузионных сред для коррекции микроциркуляторных нарушений при тяжелой черепно-мозговой травме

Цель исследования — обоснование выбора инфузионных сред с позиции коррекции микроциркуляторных нарушений у пострадавших с тяжелой черепно-мозговой травмой. Исследовательский массив разделили на 4 группы. В 1-й группе (n = 21) инфузионная терапия включала модифицированный желатин в суточной дозе 7 мл/кг массы тела, во 2-й группе (n = 19) — сбалансированный раствор кристаллоидов в дозе 6,5 мл/кг массы тела, в 3-й (n = 19) — 6% раствор гидроксиэтилированного крахмала 130/0,4 в дозе 6 мл/кг массы тела, а в 4-й группе (n = 21) — 0,9% раствор натрия хлорида в суточной дозировке 14 мл/кг массы тела. Помимо общеклинических исследований всем больным проводили мониторинг центральной гемодинамики и оценку микроциркуляции методом лазерной допплеровской флоуметрии. В результате работы доказана необходимость коррекции микроциркуляции у всех пациентов с тяжелой черепно-мозговой травмой.Включение в алгоритм работы врача методов контроля микроциркуляции (показателя лазерной допплеро­флоуметрии) облегчает выбор инфузионных сред. Гидроксиэтилированный крахмал 130/0,4 обладает наилучшим сочетанием свойств для коррекции микроциркуляции. Менее эффективными являются препараты модифицированного желатина. Сбалансированные и несбалансированные кристаллоиды не способствуют восстановлению микроциркуляторного кровообращения.</jats:p