On the number of zeros of Melnikov functions

We provide an effective uniform upper bond for the number of zeros of the first non-vanishing Melnikov function of a polynomial perturbations of a planar polynomial Hamiltonian vector field. The bound depends on degrees of the field and of the perturbation, and on the order $k$ of the Melnikov function. The generic case $k=1$ was considered by Binyamini, Novikov and Yakovenko (\cite{BNY-Inf16}). The bound follows from an effective construction of the Gauss-Manin connection for iterated integrals

Государственное Регулирование и Стимулирование Высокотехнологичных Отраслей Промышленности

Research and development (R & D) work construct the main component and the driving force of economic growth of any state. The current investigation is devoted to studying strategic planning and regulation of high-tech developments and innovative technical solutions.The material of this article can be used in the theory and practice of R & D analysis. It can be useful to managers of organizations involved in innovation, as well as to master degree students and postgraduates of financial and economic areas conducting research in this area.According to the results of the study, proposals to improve the conditions for the development of research, development and innovation activities in general, the necessity to stimulate financing for innovation activities were crystalized.El trabajo de investigación y desarrollo (I & D) construye el componente principal y la fuerza gestora del crecimiento económico de cualquier Estado. La presente investigación está dedicada a estudiar la planificación estratégica y la regulación de desarrollos de alta tecnología y soluciones técnicas innovadoras.El material de este artículo puede ser utilizado en la teoría y práctica del análisis de I & D. Puede ser útil para gerentes de organizaciones que participan en la innovación, así como para estudiantes de maestría y postgraduados de áreas financieras y económicas que realizan investigación en este campo.Según los resultados del estudio, las propuestas para mejorar las condiciones para el desarrollo de las actividades de investigación, desarrollo e innovación en general, se cristalizaron en la necesidad de estimular la financiación de las actividades de innovación.Os trabalhos de investigação e desenvolvimento (I & D) constroem a principal componente e a força motriz do crescimento económico de qualquer estado. A presente investigação dedica-se ao estudo do planeamento estratégico e da regulação dos desenvolvimentos de alta tecnologia e das soluções técnicas inovadoras.O material deste artigo pode ser usado na teoria e prática da análise de I & D. Pode ser útil para gestores de organizações envolvidas na inovação, bem como para formar estudantes e pós-graduados de áreas financeiras e econômicas que realizam pesquisas nesta área. De acordo com os resultados do estudo, propostas para melhorar as condições para o desenvolvimento de atividades de pesquisa, desenvolvimento e inovação em geral, a necessidade de estimular o financiamento de atividades de inovação foi cristalizada.Научно-исследовательские опытно-конструкторские работы (НИОКР) являются главной составляющей и движущей силой экономического роста любого государства. Исследование посвящено изучению стратегического планирования и регулирования высокотехнологичных разработок и инновационных технических решений.Материал данной статьи может применяться в теории и практике анализа НИОКР. Она будет полезна руководителям организаций, занимающихся инновациями, а также магистрантам, аспирантам финансово-экономических направлений, проводящих исследования в данной области.По результатам проведенного исследования сформулированы предложения по улучшению условий развития исследований, разработок и инновационной деятельности в целом, необходимости стимулирования финансирования инновационной деятельности

Организационно-экономическая полиструктура реализации инновационных проектов

The procedure of organizing, holding tenders and reviewing projects is a formal process, based on expert evaluation, which does not consider the peculiarities of high-tech projects, especially in terms of obtaining possible intermediate results. It has a high degree of uncertainty about the final product from the standpoint of its consumer and functional parameters, which causes a high degree of probability of making suboptimal decisions.The solution of the above problem proposed in this article is to form a specialized organizational and executive structure of the project implementation within the framework of the system integration of the participants or executors of the project.This article proposes a more politically correct system legitimacy in the framework of existing legislation, because the previous one had a lack of selection procedure of the implementation of high technology projects.El procedimiento de organización, realización de ofertas y revisión de proyectos es un proceso formal, basado en la evaluación de expertos, que no considera las peculiaridades de los proyectos de alta tecnología, especialmente en términos de obtener posibles resultados intermedios. Tiene un alto grado de incertidumbre sobre el producto final desde el punto de vista de sus parámetros funcionales y de consumo, lo que causa un alto grado de probabilidad de tomar decisiones subóptimas.La solución al problema anterior propuesto en este artículo es formar una estructura organizativa y ejecutiva especializada de la implementación del proyecto en el marco de un sistema de integración de los participantes o ejecutores del proyecto.Este artículo propone un sistema de legitimidad más políticamente correcto en el marco de la legislación existente, ya que el anterior carecía de un procedimiento de selección de implementación de proyectos de alta tecnología.O procedimento de organizar, fazer ofertas e revisar projetos é um processo formal, baseado na avaliação de especialistas, que não considera as peculiaridades de projetos de alta tecnologia, especialmente em termos de obtenção de possíveis resultados intermediários. Tem um alto grau de incerteza sobre o produto final do ponto de vista de seus parâmetros funcionais e de consumo, o que causa um alto grau de probabilidade de tomar decisões sub-ótimas.A solução para o problema anterior proposto neste artigo é formar uma estrutura organizacional e executiva especializada para a implementação do projeto no âmbito de um sistema de integração dos participantes ou executores do projeto.Este artigo propõe um sistema de legitimidade mais politicamente correto no âmbito da legislação existente, uma vez que o anterior não dispunha de um procedimento de seleção para a implementação de projetos de alta tecnologia.Процедура организации, проведения конкурсов, рассмотрения проектов носит зачастую формальный характер, основанный в значительной степени на экспертной оценке, не учитывающий особенности высокотехнологических проектов, прежде всего в части получения возможных промежуточных результатов, высокую степень неопределенности по конечному продукту с позиций его потребительских и функциональных параметров, что обусловливает высокую степень вероятности принятия неоптимальных решений.Предлагаемое в данной статье решение вышеуказанной проблемы заключается в формировании специализированной организационно – исполнительской полиструктуры реализации проекта в рамках системной интеграции участников – исполнителей работ по проекту.Разработан инструментарий, представленный процедурой и экономико-математическим аппаратом объективизации процессов реализации наукоемких проектов с позиций их стратегической ориентированности и одновременно потребительской результативности.В отличие от существующей недостаточно представительной однокритериальной процедуры отбора и контроля за реализацией наукоемких проектов, предложена более корректная поликритериальная система, лигитимная в рамках существующего законодательства

Determination the authenticity and quality of the goods

Often the question arises, how to assess the quality of the goods. To determine either fake or genuine product, there are many different methods and techniques, but there is no universal method for determining the low-quality products. It is proposed to provide a compact device for use with any mobile device, such as a cell phone, as well as the creation of algorithm and software that will allow the end user to easily use the device for self-determination of the authenticity and quality of the goods, comparing the results of the spectra analysis

Arcless opening of direct current circuits in technical systems

Operation of the proposed DC circuit breaker consists in the fact that the closing of the thyristor in the DC power circuit with an inductive load results from opening the auxiliary circuit with a current value several fold less than the load current. The power and auxiliary circuits are connected by means of a current transformer having counter switch windings. After switching, the load is shunted by a diode and does not affect the transition process. Simulations and experimental tests of the DC circuit breaker model showed its performance capability, and the breaker can be used for switching in existing DC high current circuits with inductive loads

Optimizing the economic information transparency level of high-tech enterprises in the post-industrial globalized economy

Purpose: Managerial conditions of economic operation of a high technology enterprise as it integrates into the global economy that is essentially postindustrial and globalized were considered in this article. Design/Methodology/Approach: An inevitable immersion of the enterprise into the well-developed external infosphere, as well as a membrane borderline between the external and the internal infospheres were shown. The enterprise was represented dually – as both a donor and a recipient of information resources. Findings: An interpretation of the content of the infosphere was presented. Multiple causes of the discrete nature of the enterprise’s infosphere implementation were shown. The concept of “informational economic transparency” of an enterprise was introduced, and multiple components determining transparency levels were described. Practical Implications: The influence of transformations of informational economic transparency of an enterprise on external impacts on it from legal relations parties. Positive and negative effect of increases and decreases in the informational economic transparency of the enterprise were highlighted in the context of its influence on the economic counterpart and conflict-studies situations. The understanding of the specialized control object was provided. The optimizability of a level of the transparency in the aspect of target orientation of the enterprise was demonstrated. Originality/Value: A structural prototype to the primary support managerial toolkit in the shape of a DSS, a recommender system, allowing to conduct required feasibility studies of managerial decisions was proposed.peer-reviewe