Stability and Similarity in Networks Based on Topology and Nodes Importance
We propose a model that evaluates how much a network has changed over time in terms of its structure and a set of central elements. The difference of structure is evaluated in terms of node-to-node influence using known nodes correspondence models. To analyze the changes in nodes centralities we adapt an idea of interval orders to the network theory. Our approach can be used to investigate dynamic changes in temporal networks and to identify suspicious or abnormal effects in terms of the topology and its critical members. We can also transform the stability measure to the similarity measure in order to cluster the network in some homogeneous periods. To test our model, we consider the international migration network from 1970 to 2015 and attempt to analyze main changes in migration patterns.
A new type of massless Dirac fermions in crystalline three_dimensional topological insulators (three_dimen_sional two_dimensional situation) has been predicted. The spectrum has fourfold degeneracy at the top of the two_dimensional Brillouin zone (M point) and twofold degeneracy near the M point. Crystal symmetry along with the time reversal invariance in three_dimensional topological insulators allows fourfold degenerate Dirac cones, which are absent in the classification of topological features in R._J. Slager et al., Nat. Phys. 9, 98 (2013). The Hamiltonian in the cited work does not contain Dirac singularities with more than twofold degeneracy. For this reason, the corresponding topological classification is incomplete. The longitudinal magnetic field in the spinless case holds the massless dispersion law of fermions and does not lift fourfold degeneracy. In the spinor case, the magnetic field lifts fourfold degeneracy, holding only twofold degeneracy, and results in the appearance of a band gap in the spectrum of fermions.
Seasonality and cyclicity - are two influential factors that affect dynamics of macroeconomic indicators both during the year and longer periods of time. In this article are discussed methodological questions that arise during seasonal decomposition of the GDP by factors for the year when balance aggregate and factors ratio is constant. Economic cycles mechanisms origin and their identification questions based on the combination of classical methods of spectral analysis and historic approach. Presented is the fact that along with more regular cycles such as investment and Kondratiev wave, influence of shocks (such as «oil prices crises») appear so called causal cycles that lead to a serious change in technological base of production. Particular importance (emphasis is placed on ) a new technological wave which is expected to strike the world in 2020 th and those goal set before the Russia. This research is done on the basis of world and Russian (national) statistics.
The paper develops an approach to analyze dynamics of economic network structures, such as spatial agglomerations. The approach is based on a use of powers of matrices with an idempotent operation.
The article concentrates on the analysis of new tendencies in the theoretical foundations of historical sociology in the incoming new century. It focuses on the so called “third wave” in sociology which strangely remains unnoticed by historians. Meanwhile the representatives of the “third wave” rejected the fundamental principles of their teachers – creators of many famous concepts of modernization. The new generation in American sociology prefers to focus their studies on topics other than typology, searching for contingency, unpredictability, chains of events, path dependency etc. Here in conceptual approaches to the past social reality we find out deliberate and thought-out attempt to use transformed and formalized but essentially historical methods which are well articulated. The broader object of the research is the historical knowledge and the professional concepts about “subject and method”, the creation of interdisciplinary areas, mutual adoption and interventions.
X МЕЖДУНАРОДНАЯ IEEE НАУЧНО-ТЕХНИЧЕСКАЯ КОНФЕРЕНЦИЯ «ДИНАМИКА СИСТЕМ, МЕХАНИЗМОВ И МАШИН». Конференция направлена на демонстрацию и популяризацию результатов научной деятельности, развитие системы эффективных коммуникаций научной общественности, повышение уровня международного обмена научными знаниями, повышение статуса инженерного образования, повышение качественного уровня и соответствие международным стандартам публикаций конференции.
Конференция посвящена рассмотрению актуальных вопросов в различных отраслях науки, таких как проектирование машин и механизмов; электроэнергетические, электромеханические и радиотехнические системы; информационные и измерительные процессы; испытание и контроль; тепловые и газодинамические процессы; конструкции летательных аппаратов; технологические процессы; трибосистемы; информационная безопасность, а также математическое моделирование.