The quasi-periodic doubling cascade in the transition to weak turbulence

The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain. Special symmetries are imposed on the flow field in order to reduce the computational effort. Thus we can apply tools from dynamical systems theory such as continuation of periodic orbits and computation of Lyapunov exponents. We propose a model ODE for the quasi-period doubling cascade which, in a limit of a perturbation parameter to zero, avoids resonance related problems. The cascade we observe in the simulations is then compared to the perturbed case, in which resonances complicate the bifurcation scenario. In particular, we compare the frequency spectrum and the Lyapunov exponents. The perturbed model ODE is shown to be in good agreement with the simulations of weak turbulence. The scaling of the observed cascade is shown to resemble the unperturbed case, which is directly related to the well known doubling cascade of periodic orbits

Twin cities: a new form of cross-border cooperation in the Baltic Sea Region?

The paper demonstrates the first attempt in Russian political studies to conduct a comprehensive analysis of the "twin city" movement as a form of cross-border cooperation in the Baltic region. This phenomenon emerged as a result of a global tendency towards more active involvement of municipal units in international cooperation, on the one hand, and aspirations of frontier cities and towns in the Baltic region to solve common problems together, on the other hand. This work is based on a comparative analysis method and a case study methodology. The authors consider four examples (city pairs): Tornio - Haparanda, Valga - Valka, Narva - Ivangorod and Imatra - Svetogorsk. The article specifies the terminological framework used in this field of research. The authors analyse achievements and failures of this type of international inter-municipal cooperation and emphasise that for twin cities it served not only as a means of survival in the difficult situation of the 1990s, but also as an experimental ground for new forms of crossborder cooperation. The authors arrive at the conclusion that this model proves to be promising for further development of integration processes in the Baltic region. This practice can be applied by Russian municipal, regional and federal authorities in promotion of cross-border cooperation not only in the Baltic region, but also in other regions of the country. Thus, influenced by the successful experience of Baltic frontier cities and towns, the Russian city of Nikel and the Norwegian city of Kirkenes decided to adopt this model for further development of their cooperation

Оценка адекватности предлагаемой математической модели прогноза на фактических данных мониторинга уровня грунтовых вод в центральной части г. Харькова

In connection with the problem of increasing the level of groundwater in the urban territories, the previously created mathematical model is tested for actual groundwater level monitoring data in the central part of Kharkov city. The results of calculations on the model give groundwater levels close to real monitoring values. This indicates the adequacy of the model created to real-life conditionsВ связи с проблемой повышения уровня грунтовых вод на застроенных территориях выполнено апробирование созданной ранее математической модели на фактических данных мониторинга уровня грунтовых вод в центральной части города Харькова. Результаты расчетов на модели дают близкие к реальным мониторинговым значениям уровни грунтовых вод. Это указывает на адекватность созданной модели реальным натурным условия

Lifelong learning progress monitoring as a tool for local development management

The concept of learning cities and regions is recently becoming widespread both in the European and global theory of regional development acting as a tool for successful local socio-economic development management of a city and region, development of their human potential, the basis of the regional education policy of countries. Analysis of theoretical principles and, particularly, the practice of implementing the concept of learning cities and regions for Ukraine is currently a necessary condition for its sustainable development, full entry into the European and global economy, as well as the educational space. All mentioned above makes relevant the research of theory and practice of the European and world regional education policy on the example of learning cities and regions. The article analyzes the potential of the Composite Learning Index and European Lifelong Learning Index to monitor the progress of lifelong learning as a tool for local development management and proposes the list of indicators and measures – the Ukrainian Lifelong Learning Index – adapted to the Ukrainian education area

Разработка генеративной состязательной нейронной сети для идентификации потенциальных ингибиторов ВИЧ-1 методами глубокого обучения

A generative adversarial autoencoder for the rational design of potential HIV-1 entry inhibitors able to block the region of the viral envelope protein gp120 critical for the virus binding to cellular receptor CD4 was developed using deep learning methods. The research were carried out to create the  architecture of the neural network, to form  virtual compound library of potential anti-HIV-1 agents for training the neural network, to make  molecular docking of all compounds from this library with gp120, to  calculate the values of binding free energy, to generate molecular fingerprints for chemical compounds from the training dataset. The training the neural network was implemented followed by estimation of the learning outcomes and work of the autoencoder.  The validation of the neural network on a wide range of compounds from the ZINC database was carried out. The use of the neural network in combination with virtual screening of chemical databases was shown to form a productive platform for identifying the basic structures promising for the design of novel antiviral drugs that inhibit the early stages of HIV infection.Методами глубокого обучения разработан генеративный состязательный автоэнкодер для рационального дизайна потенциальных ингибиторов проникновения ВИЧ-1, способных блокировать участок белка gp120 оболочки вируса, критический для его связывания с клеточным рецептором CD4. Были выполнены исследования, включающие создание архитектуры автоэнкодера, формирование молекулярной библиотеки потенциальных лигандов белка gp120 ВИЧ-1 для обучения нейронной сети, молекулярный докинг лигандов с белком gp120 и расчет свободной энергии связывания, генерацию молекулярных дескрипторов химических соединений обучающего набора данных, обучение нейронной сети, оценку результатов обучения и работы автоэнкодера.  Рассмотрены результаты тестирования автоэнкодера на широком наборе соединений из молекулярной библиотеки ZINC. Показано, что совместное использование нейронной сети с виртуальным скринингом баз данных химических соединений формирует продуктивную платформу для идентификации базовых структур, перспективных для создания новых противовирусных препаратов, ингибирующих ранние стадии развития ВИЧ-инфекции

«Goroda-bliznecy»: novaja forma prigranichnogo sotrudnichestva v Baltijskom regione? [Twin cities: a new form of cross-border cooperation in the Baltic Sea Region?]

The paper demonstrates the first attempt in Russian political studies to conduct a comprehensive analysis of the “twin city” movement as a form of cross-border cooperation in the Baltic region. This phenomenon emerged as a result of a global tendency towards more active involvement of municipal units in international cooperation, on the one hand, and aspirations of frontier cities and towns in the Baltic region to solve common problems together, on the other hand. This work is based on a comparative analysis method and a case study methodology. The authors consider four examples (city pairs): Tornio — Haparanda, Valga — Valka, Narva — Ivangorod and Imatra — Svetogorsk. The article specifies the terminological framework used in this field of research. The authors analyse achievements and failures of this type of international inter-municipal cooperation and emphasise that for twin cities it served not only as a means of survival in the difficult situation of the 1990s, but also as an experimental ground for new forms of crossborder cooperation. The authors arrive at the conclusion that this model proves to be promising for further development of integration processes in the Baltic region. This practice can be applied by Russian municipal, regional and federal authorities in promotion of cross-border cooperation not only in the Baltic region, but also in other regions of the country. Thus, influenced by the successful experience of Baltic frontier cities and towns, the Russian city of Nikel and the Norwegian city of Kirkenes decided to adopt this model for further development of their cooperation

Sustainable regional development as a problem of managing the socio-economic system

A systematic analysis of the concept of "sustainable development of the region" is carried out . The classification of factors that affect the process of sustainable development is given. A three -factor resource model for the formation of sustainable development of the region , including human, financial and raw materials, is described. The necessity of systematic monitoring as an element of regional development control is substantiated.</jats:p

Twin cities: a new form of cross-border cooperation in the Baltic Sea Region?

The paper demonstrates the first attempt in Russian political studies to conduct a comprehensive analysis of the "twin city" movement as a form of cross-border cooperation in the Baltic region. This phenomenon emerged as a result of a global tendency towards more active involvement of municipal units in international cooperation, on the one hand, and aspirations of frontier cities and towns in the Baltic region to solve common problems together, on the other hand. This work is based on a comparative analysis method and a case study methodology. The authors consider four examples (city pairs): Tornio - Haparanda, Valga - Valka, Narva - Ivangorod and Imatra - Svetogorsk. The article specifies the terminological framework used in this field of research. The authors analyse achievements and failures of this type of international inter-municipal cooperation and emphasise that for twin cities it served not only as a means of survival in the difficult situation of the 1990s, but also as an experimental ground for new forms of crossborder cooperation. The authors arrive at the conclusion that this model proves to be promising for further development of integration processes in the Baltic region. This practice can be applied by Russian municipal, regional and federal authorities in promotion of cross-border cooperation not only in the Baltic region, but also in other regions of the country. Thus, influenced by the successful experience of Baltic frontier cities and towns, the Russian city of Nikel and the Norwegian city of Kirkenes decided to adopt this model for further development of their cooperation