3,800 research outputs found
Alexander Vladimirovich Kuznetsov
No full textAlexander Vladimirovich Kuznetsov, also known to the second generation of Soviet logicians as Sasha Kuznetsov, was born in Moscow on the 28 th of October, 1926. He lived a short yet fruitful life and died of cancer 1 in Chişinău, Moldova, on the 24 th of July, 1984
SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
No full textSLIDECONT, an AUTO97 driver for sliding bifurcation analysis of discontinuous piecewise-smooth autonomous systems, known as Filippov systems, is described in detail. Sliding bifurcations are
those in which some sliding on the discontinuity boundary is critically involved. The software allows for detection and continuation of codimension-1 sliding bifurcations as well as detection of some
codimension-2 singularities, with special attention to planar systems (n = 2). Some bifurcations are also supported for n-dimensional systems. This article gives a brief introduction to Filippov systems, describes the structure of SLIDECONT and all computations supported by SLIDECONT 2.0. Several examples, which are distributed together with the source code of SLIDECONT, are presented
Backlund transformations for many-body systems related to KdV
No full textWe present Backlund transformations (BTs) with parameter for certain classical integrable n-body systems, namely the many-body generalised Henon-Heiles, Garnier and Neumann systems. Our construction makes use of the fact that all these systems may be obtained as particular reductions (stationary or restricted flows) of the KdV hierarchy; alternatively they may be considered as examples of the reduced sl(2) Gaudin magnet. The BTs provide exact time-discretizations of the original (continuous) systems, preserving the Lax matrix and hence all integrals of motion, and satisfy the spectrality property with respect to the Backlund parameter
Anatoly Kuznetsov, Author of Babi Yar: The History of the Book and the Fate of the Author
No full textThis Introduction to the special issue devoted to Anatoly Kuznetsov, author of Babi Yar: A Document in the Form of a Novel, dwells on the different aspects of the book’s importance, surveys the life of the author as intertwined with the history of this book, suggests a way of reading his other work in the light of Babi Yar, and notes the contributions of the articles collected in this issue
Sobre el buen planteamiento y propagación de regularidad de la ecuación Zakharov-Kuznetsov
No full textAbordamos el problema de propagación de regularidad y decaída en la variable x, para las soluciones asociadas al problema de valor inicial (PVI) para la ecuación k-generalizada Zakharov-Kuznetsov bidimensional. Además, se discuten algunas propiedades importantes para este fin, invocando el buen planteamiento en los espacios de Sobolev H^s(R^2) con s s_k, donde s_k es el indice de regularidad en los datos iniciales, que garantizan buen planteamiento al (PVI) de la ecuación (k-gZK), junto con estimaciones de las soluciones que son requeridas. (Texto tomado de la fuente)Abstract. We address the problem of propagation for regularity and decay in the variable x associated with the initial value problem (IVP) of the k -generalized Zakharov-Kuznetsov two-dimensional equation: (k-gZK) ( ∂tu + u kux + ∂x(∆u) = 0 k ∈ Z + , x, y ∈ R , t ≥ 0 u(x, y, 0) = u0(x, y) ∈ H1 + (R 2 ). In addition, for this purpose some important properties are discussed, invoking the well posedness in the Sobolev spaces Hs (R 2 ) with s sk where sk is the regularity index of the initial data in order to ensure well posedness for the (k-gZK) (IVP), along with estimates of the solutions that are required.Maestrí
New wave simulations to the (3+1)-dimensional modified Kdv-Zakharov-Kuznetsov equation
No full textInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM) - SEP 19-25, 2016 - Rhodes, GREECEWOS: 000410159800577In this study, we apply an effective method which is improved Bernoulli sub-equation function method (IBSEFM) to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation. It gives some new wave simulations such as complex and exponential structures. We check up whether all structures verify the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov model. Then, we plot three and two dimensional surfaces of obtained solutions by using Wolfram Mathematica 9
Overview and Comparison of the Main Approaches to the Implementation of Contact Tracing Mechanisms in the COVID-19 Pandemic
No full textThe spread of the COVID-19 pandemic poses new challenges and threats to the international community. In particular, today the number of people infected with coronavirus infection already exceeds 80 million, almost 2 million died from the pandemic, and these terrible statistics are not final. Under these conditions, quarantine restrictions are almost the only effective means of counteracting the effects of the epidemic by reducing the rate of virus spread. However, quarantine restrictions have extremely serious consequences for the world economy, they have already led to a significant reduction in production and, consequently, jobs in almost all sectors of the economy. Therefore, the development and implementation of the latest information technologies for contact tracking in the context of the COVID-19 pandemic is an extremely important and urgent task. The purpose of this article is to research and substantiate various information technologies (such as Bluetooth, Wi-Fi, GPS, etc.) in contact tracking tools to prevent the spread of infectious diseases. We analyze different approaches to the implementation of contact tracing mechnisms, highlight their advantages and disadvantages as well as opportunities for improvement. Also we analyze examples of real applications of the advanced countries functioning at the state level
- …
