Acoustic breathers in two-dimensional lattices

The existence of breathers (time-periodic and spatially localized lattice vibrations) is well established for i) systems without acoustic phonon branches and ii) systems with acoustic phonons, but also with additional symmetries preventing the occurence of strains (dc terms) in the breather solution. The case of coexistence of strains and acoustic phonon branches is solved (for simple models) only for one-dimensional lattices. We calculate breather solutions for a two-dimensional lattice with one acoustic phonon branch. We start from the easy-to-handle case of a system with homogeneous (anharmonic) interaction potentials. We then easily continue the zero-strain breather solution into the model sector with additional quadratic and cubic potential terms with the help of a generalized Newton method. The lattice size is $70\times 70$. The breather continues to exist, but is dressed with a strain field. In contrast to the ac breather components, which decay exponentially in space, the strain field (which has dipole symmetry) should decay like $1/r^a, a=2$. On our rather small lattice we find an exponent $a\approx 1.85$

Blind source separation via multinode sparse representation

We consider a problem of blind source separation from a set of instan taneous linear mixtures, where the mixing matrix is unknown. It was discovered recently, that exploiting the sparsity of sources in an appro priate representation according to some signal dictionary, dramatically improves the quality of separation. In this work we use the property of multiscale transforms, such as wavelet or wavelet packets, to decompose signals into sets of local features with various degrees of sparsity. We use this intrinsic property for selecting the best (most sparse) subsets of features for further separation. The performance of the algorithm is verified on noise-free and noisy data. Experiments with simulated signals, musical sounds and images demonstrate significant improvement of separation quality over previously reported results

On the Existence of Localized Excitations in Nonlinear Hamiltonian Lattices

We consider time-periodic nonlinear localized excitations (NLEs) on one-dimensional translationally invariant Hamiltonian lattices with arbitrary finite interaction range and arbitrary finite number of degrees of freedom per unit cell. We analyse a mapping of the Fourier coefficients of the NLE solution. NLEs correspond to homoclinic points in the phase space of this map. Using dimensionality properties of separatrix manifolds of the mapping we show the persistence of NLE solutions under perturbations of the system, provided NLEs exist for the given system. For a class of nonintegrable Fermi-Pasta-Ulam chains we rigorously prove the existence of NLE solutions.Comment: 13 pages, LaTeX, 2 figures will be mailed upon request (Phys. Rev. E, in press

Representations of solutions of the wave equation based on relativistic wavelets

A representation of solutions of the wave equation with two spatial coordinates in terms of localized elementary ones is presented. Elementary solutions are constructed from four solutions with the help of transformations of the affine Poincar\'e group, i.e., with the help of translations, dilations in space and time and Lorentz transformations. The representation can be interpreted in terms of the initial-boundary value problem for the wave equation in a half-plane. It gives the solution as an integral representation of two types of solutions: propagating localized solutions running away from the boundary under different angles and packet-like surface waves running along the boundary and exponentially decreasing away from the boundary. Properties of elementary solutions are discussed. A numerical investigation of coefficients of the decomposition is carried out. An example of the field created by sources moving along a line with different speeds is considered, and the dependence of coefficients on speeds of sources is discussed.Comment: submitted to J. Phys. A: Math. Theor., 20 pages, 6 figure

Ядерные испытания на Семипалатинском полигоне и здоровье населения Алтайского края

The comparative analysis of morbidity, mortality and in validation of the population of Altay region and other regions of West Siberia (Kemerovsky, Novosibirsky, Omsky, Tomsky, Tyumensky) is presented in this paper. It was found that in recent years in spite of a more favorable ecologic situation in this area the level of morbidity (hematological disorders, cardiovascular disorders, urinary diseases), mortality from infectious, parasitic, pulmonary diseases and malignant tumors and invalidisation of the population increased. The main cause of this is supposed to be the consequences of nuclear weapon tests in the atmosphere in 1949-1962 on the testing ground near Semipalatinsk at the border of Altay region. The data on repeated pollutions by the products of nuclear disintegration in Altay region are reported.В статье представлен сравнительный анализ показателей заболеваемости, смертности и инвалидизации населения Алтайского края и других областей Западной Сибири (Кемеровской, Новосибирской, Омской, Томской, Тюменской). Установлено, что в последние годы при более благоприятной экологической обстановке относительно сравниваемых территорий в крае отмечается более высокий уровень заболеваемости (болезни крови, сердечно-сосудистой, мочеполовой систем), смертности (от инфекционных и паразитарных болезней, злокачественных новообразований, болезней органов дыхания) и инвалидизации населения. В качестве основной причины неблагоприятных показателей здоровья жителей этого района рассматриваются последствия ядерных испытаний в атмосфере в 1949—1962 гг. на Семипалатинском полигоне, находящемся в непосредственной близости от границы края. Приводятся данные, свидетельствующие об имевшем место многократном загрязнении территории Алтайского края продуктами ядерного распада

The microelement structure of a ground of northern part of the Caspian Sea

Distribution and migration of metals in water systems is supervised mainly by character ground adjournment and water weight. Intensity of receipt of microcells from ground adjournment depend on physical structure and the chemical nature of last, defining in turn force of communication with them chemical element

Peculiarities of anesthetic management of biliopancreatic shunting operation

Неймарк М.И., доктор медицинских наук, профессор, заведующий кафедрой Алтайского государственного медицинского университета (Барнаул);тел. 8-385-2380898. Neymark M.I., doctor of medical sciences, professor, head department of anesthesiology and resuscitation of Altay state medical university (Barnaul);ph. 8-385-2380898. Киселев Р.В., кандидат медицинских наук, врач-ординатор отделения анестезиологии и реанимации Областной клинической больницы на станции Барнаул (Барнаул); тел. 8-385-2242395. Kisilev., candidate of medical sciences, doctor of department of anesthesiology and resuscitation at Barnaul railways station hospital (Barnaul); ph. 8-385-2242395. Эленшлегер В.А., кандидат медицинских наук, заведующий отделением эндокринной хирургии Областной клинической больницы на станции Барнаул (Барнаул); тел. 8-385-2380827. Elenshleger V.A., candidate of medical sciences, chief of department of endocrine surgeries at Barnaul railways station hospital (Barnaul); ph. 8-385-2380827.Авторами проведен анализ анестезиологического и хирургического обеспечения 13 пациентов с морбидным ожирением, перенёсших билиопанкреатическое шунтирование. Было проведено исследование анестезии на центральную гемодинамику и коронарный кровоток, на время пробуждения, восстановления двигательной активности, восстановления пассажа по кишечному тракту. Изучены эффективность послеоперационной аналгезии, частоты и структуры послеоперационных осложнений и анализ влияния хирургического вмешательства на коррекцию массы тела, углеводного и жирового обмена. The authors analyzed anesthetic and surgical management of 13 patients with morbid obesity that had biliopancreatic shunting. They studied the influence of anesthesia on central hemodynamic, coronary flow, recovery time, reactivation of motion activity and intestinal work; also they examined effectiveness of post operational analgesia, frequency and structure of surgical complications, surgical intervention influence on body weight, carbohydrate and fat metabolism