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

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

Conception of managing of fuzzy-institutional meso-level organizational separations in a context of product projects internationalization

The paper covers many conceptual design solutions related to the management of meso-level organizational separations operating in economy, which are institutionally fully or partly undetermined or fuzzy as a generalization (which are non-existent de jure, and take place in economy de facto). They belong to a considerable variety of countries of their member enterprises and various operational areas. An important feature is that they are fully or partially (some of the members) dynamically and considerably belong to heterogeneous countries with different law, economic, information and engineering systems, including the level of advancement in post-industrial society. It is proposed to determine a certain typological variety of such separations and to treat them as pseudo-corporation. Among such pseudo-corporations are enterprises, which are involved in product projects implementation as well as those, including the enterprises won of a number kind of contests. As a result, management in objective product localization is transformed into a kind of an intercorporate one. It is suggested that for this type a conceptual scheme of technical and economical evaluation of in-house management solutions should be applied.peer-reviewe