102 research outputs found
Stable regimes for hard disks in a channel with twisting walls
No full textThis is the author accepted manuscript. The final version is available from AIP Publishing via the DOI in this record.We study a gas of N hard disks in a box with semi-periodic boundary conditions. The unperturbed gas is hyperbolic and ergodic (these facts are proved for N=2 and expected to be true for all N≥2). We study various perturbations by twisting the outgoing velocity at collisions with the walls. We show that the dynamics tends to collapse to various stable regimes, however we define the perturbations, and however small they are.N.C. is partially supported by NSF grant DMS-0969187
Spatial structure of Sinai-Ruelle-Bowen measures
No full textThis is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.Sinai-Ruelle-Bowen measures are the only physically observable invariant measures for billiard dynamical systems under small perturbations. These measures are singular, but as it was observed, marginal distributions of spatial and angular coordinates are absolutely continuous. We generalize these facts and provide full mathematical proofs.The authors are partially supported by NSF grant DMS-096918
Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
No full textVladimir Bakk, piano (Rusia)
No full textConcierto interpretado por el pianista Vladimir Bakk. Bakk nació en una familia de músicos de Moscú. Su padre es pianista, alumno del profesor K. N. Igumnov. Las cualidades musicales del muchacho no causaron dudas y sus padres decidieron mandarlo a estudiar piano seriamente. En 1950, al haber pasado exitosamente los exámenes de concurso, Bakk ingresó a la Escuela musical especializada adjunta al Instituto Musical y Pedagógico de los Gnessin en Moscú. Más tarde el futuro pianista estudió en la Escuela de Música adjunta al Conservatorio de Moscú en la clase de piano del profesor R. Chernov, y en el año de 1966 se hace estudiante del más importante centro musical del país, el Conservatorio Estatal de Moscú, en la clase del profesor Ya. 1. Zak. Como estudiante del Conservatorio, V. Bakk con frecuencia participaba en los conciertos estudiantiles, en la gira artística, junto con otros músicos soviéticos, por Hungría
Pod systems : an equivariant ordinary differential equation approach to dynamical systems on a spatial domain
No full textWe present a class of systems of ordinary differential equations (ODEs), which we call 'pod systems', that offers a new perspective on dynamical systems defined on a spatial domain. Such systems are typically studied as partial differential equations, but pod systems bring the analytic techniques of ODE theory to bear on the problems, and are thus able to study behaviours and bifurcations that are not easily accessible to the standard methods. In particular, pod systems are specifically designed to study spatial dynamical systems that exhibit multi-modal solutions.
A pod system is essentially a linear combination of parametrized functions in which the coefficients and parameters are variables whose dynamics are specified by a system of ODEs. That is, pod systems are concerned with the dynamics of functions of the form psi(s, t) = y(1)(t)phi(s; x(1)(t)) + ... + y(N)(t)phi(s; x(N)(t)), where s is an element of R-n is the spatial variable and phi: R-n x R-d -> R. The parameters x(i) is an element of R-d and coefficients y(i) is an element of R are dynamic variables which evolve according to some system of ODEs,. x(i) = G(i)(x, y) and y(i) = H-i(x, y), for i = 1,..., N. The dynamics of psi in function space can then be studied through the dynamics of the x and y in finite dimensions.
A vital feature of pod systems is that the ODEs that specify the dynamics of the x and y variables are not arbitrary; restrictions on G(i) and H-i are required to guarantee that the dynamics of psi in function space are well defined (that is, that trajectories are unique). One important restriction is symmetry in the ODEs which arises because psi is invariant under permutations of the indices of the (x(i), y(i)) pairs. However, this is not the whole story, and the primary goal of this paper is to determine the necessary structure of the ODEs explicitly to guarantee that the dynamics of psi are well defined
Mechanical properties and fracture features of low-activation ferritic-martensitic steel EK-181 at subzero temperatures
No full textThe linear logic synthesis of k-valued digital structures in the analogous circuitry basis
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ПРОТИВОРЕЧИВОСТЬ РЫНОЧНЫХ ЗАКОНОВ В ИЗМЕНЕНИИ ЦЕН И ЦЕНООБРАЗУЮЩИЙ АТТРАКТОР
No full textThe article critically examines the most frequently used in the scientific community the fundamental laws of price formation in a market economy. The author also reveals the incompleteness and lack of complexity in the interpretation of the Marxist direction of the labor theory of value by the subjects of the state economy of the Soviet period. New questions about the role of prices in global market processes, paradigms and definitions of pricing arise in the ongoing radical changes in geo-economics.In the complex interconnection to explore the role, importance, degree of dominance and signs of dominance of the most important basic laws of economic development and factors in the formation and change of prices in the dialectical relationship with changing conditions.The main method of research is the dialectical approach by which the author demonstrates on models the action, interaction, mutual influence of the fundamental laws of the market and the conditions underlying changes in market conditions and, consequently, prices. The fundamental components of the price allocated by the author are investigated as categorical oppositions.The author identifies financial and marketing components in the concept of price, reveals and substantiates the features and conditions that determine the predominance of one of these components. The article shows how under the influence of the laws of the market at different stages of the product’s life cycle in the changing of the entropy of prices is established a vibrational mode associated with the center of swing of the pendulum.Established a legitimate regime of prices’ entropy as the resultant of the interests of the parts of the converging it, determine the trajectory of price fluctuations and gradually comply the neighboring modes (transients) with the most common key law of pricing. To this conclusion, the author comes, exploring the interaction of various laws in the market processes of recent decades.В статье критически исследуются наиболее употребляемые в научной среде основополагающие законы ценообразования в рыночной экономике. Раскрывается также неполнота и отсутствие комплексности в трактовке марксистского направления трудовой теории стоимости субъектами государственной экономики советского периода.В происходящих кардинальных изменениях геоэкономики возникают новые вопросы о роли цены в глобальных рыночных процессах, парадигмах и дефинициях ценообразования. В статье в комплексной взаимоувязке исследуются роль, значение, степень преобладания и признаки доминирования наиболее значимых основных законов экономического развития и факторов в формировании и изменении цен в диалектической взаимосвязи с изменяющимися условиями.Основным методом исследования служит диалектический подход, с помощью которого автор демонстрирует на моделях действие, взаимодействие, взаимовлияние фундаментальных законов рынка и условий, лежащих в основе изменения рыночной конъюнктуры и, как следствие, цены. Выделенные автором фундаментальные составляющие цены исследуются как категориальные оппозиции.Автор выделяет в понятии цены финансовую и маркетинговую составляющие, выявляет и обосновывает признаки и условия, предопределяющие преобладание одной из указанных составляющих.В статье демонстрируется, как под воздействием законов рынка на различных стадиях жизненного цикла в меняющейся энтропии цен устанавливается некий колебательный режим, ассоциируемый с центром качания маятника.Установившийся закономерный режим в энтропии цен как равнодействующая интересов частей, сходящихся в нем, определяет траекторию ценовых колебаний и постепенно подчиняет соседние режимы (переходные процессы) наиболее общему ключевому закону ценообразования. К такому выводу автор приходит, исследуя взаимодействие различных законов в рыночных процессах последних десятилетий
Errata and corrigenda: Climate change and biodiversity in the Arctic-Nordic perspectives (vol 26, pg 96, 2007)
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