228 research outputs found

    Invariant cones for strange attractors of Lozi, H\'{e}non and Belykh type maps

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    We consider strange attractors of two dimensional generalized map with one nonlinearity such that Lozi, H\'{e}non and Belykh maps are particular cases of it. We describe technique of invariant expanding and contracting cones creation for study of hyperbolic properties. Theorems of singular hyperbolic attractors for new modifications of Lozi, H\'{e}non and Belykh-type maps are presented

    Computer-assisted global analysis for vibro-impact dynamics: a reduced smooth maps approach

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    We present a novel approach for studying the global dynamics of a vibro-impact pair, that is, a ball moving in a harmonically forced capsule. Motivated by a specific context of vibro-impact energy harvesting, we develop the method with broader non-smooth systems in mind. The seeming complications of the impacts of the ball with the capsule are exploited as useful non-smooth features in selecting appropriate return maps. This choice yields a computationally efficient framework for constructing return maps on short-time realizations from the state space of possible initial conditions rather than via long-time simulations often used to generate more traditional maps. The different dynamics in sub-regions in the state space yield a small collection of reduced polynomial approximations. Combined into a piecewise composite map, these capture transient and attracting behaviors and reproduce bifurcation sequences of the full system. Further "separable'' reductions of the composite map provide insight into both transient and global dynamics. This composite map is valuable for cobweb analysis, which opens the door to computer-assisted global analysis and is realized via conservative auxiliary maps based on the extreme bounds of the maps in each subregion. We study the global dynamics of energetically favorable states and illustrate the potential of this approach in broader classes of dynamics

    The list of species registered in taiga meadow community during succession under enhanced radioactive background

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    The data presented in this article are related to the research article entitled “The succession of the plant community on a decontaminated radioactive meadow site” (T. Maystrenko, B. Gruzdev, E. Belykh, A. Rybak, 2018) [1]. Primary data on floristic studies of meadow community development in taiga zone on the site contaminated with naturally occurring radionuclides are shown. The information given allows to follow a process of appearance and exclusion of high plant species from the pioneer step of succession up to stable community formation and to compare the structure and composition of meadow communities formed on territories with the enhanced and natural radioactivity background. Keywords: Restoration of vegetation cover, Meadow community development, Taiga zone, Radioactive contaminatio

    Resilience and emotional intelligence: complementary concepts to empower the student

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    Anna Belykh. Universidad Autónoma de Tlaxcala [email protected] este artículo se exponen brevemente los resultados de la fase hermenéutica del estado del arte correspondiente a la investigación doctoral “Inteligencia emocional para potenciar la resiliencia desde la educación superior”, enfocado en el análisis de dos conceptos psicológicos aparentemente independientes, pero íntimamente relacionados. Por un lado, el estudio de la resiliencia ha permitido descubrir las características del individuo, su contexto y procesos psicosociales que facilitan un manejo exitoso de situaciones adversas o estresantes. Aplicada al ámbito educativo, desde sus dos perspectivas –estructural y procesual– esta línea vislumbra la esencia de cambio socioemocional en los actores educativos, aunque sus propuestas metodológicas suelen limitarse a predicar con el ejemplo y brindar afecto a los estudiantes. Por otro lado, la investigación de la inteligencia emocional que también estudia a las personas exitosas desde sus rasgos de carácter o capacidades de racionalización emocional ofrece un complemento metodológico basado en los procesos cognitivos que estructura una posible acción de educación para potenciar, entre otras, las cualidades preconizadas por los investigadores de la resiliencia. La vinculación de estas perspectivas ofrece un marco de referencia para el diagnóstico e intervención educativa que fomente un mayor empoderamiento del estudiante universitario desde el aula.This article presents the results of the hermeneutic phase of the state of the art corresponding to the doctoral research “Emotional intelligence to enhance resilience from higher education”, focused on the analysis of two psychological concepts apparently independent, but closely related. On the one hand, the study of resilience has allowed to discover the characteristics of the individual, their context and psychosocial processes that facilitate a successful management of adverse or stressful situations. Applied to the educational sphere, from its two perspectives –structural and procedural– this line glimpses the essence of socio-emotional change in educational actors, although its methodological proposals tend to be limited to leading by example and showing affection to students. On the other hand, emotional intelligence research that also studies successful people from their character traits or emotional rationalization capabilities offers a methodological complement based on the cognitive processes that structure a possible education action to enhance, among others, the qualities advocated by resilience researchers. The linking of these perspectives offers a frame of reference for the diagnosis and educational intervention that promotes greater empowerment of the university student from the classroom

    Synchronization and graph topology

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    This paper clarifies the relation between synchronization and graph topology. Applying the Connection Graph Stability method developed by Belykh et al. [2004a] to the study of synchronization in networks of coupled oscillators, we show which graph properties matter for synchronization. In particular, while we explicitly link the stability of synchronization with the average path length for a wide class of coupling graphs, we prove by a simple argument that the average path length is not always the crucial quantity for synchronization. We also show that synchronization in scale-free networks can be described by means of regular networks with a star-like coupling structure. Finally, by considering an example of coupled Hindmarsh–Rose neuron models, we demonstrate how global stability of synchronization depends on the parameters of the individual oscillator

    Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems

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    The paper presents a qualitative analysis of an array of diffusively coupled identical continuous time dynamical systems.The effects of full, partial, anti-phase and in-phase-anti-phase chaotic synchronization are investigated via the linear invariant manifolds of the corresponding differential equations. Existence of various invariant manifolds, a self-similar behavior, a hierarchy and embedding of the manifolds of the coupled system are discovered. Sufficient conditions for the stability of the invariant manifolds are obtained via the method of Lyapunov functions. Conditions under which full global synchronization can not be achieved even for the largest coupling constant are defined. The general rigorous results are illustrated through examples of coupled Lorenz-like and coupled Rössler systems.LANO

    THE PEDAGOGICAL NOVEL IN THE RUSSIAN CHILDREN LITERATURE OF THE SECOND THIRD OF THE XX CENTURY

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    The article analyzes the formal-substantive components of the pedagogical novels in Russian literature of the XX century - “The Republic SHKID” by G. Belykh and L. Panteleev, “Pedagogical poem” by A. Makarenko, “School of Dostoevsky” V.N. Soroky-Rosinskiy. The author points to an implicit dialogue between these writers, with the necessity makes the excursions to the more remote past of the Russian literature, to the history and development of pedagogy, discusses about the causes and forms of interaction between pedagogy and literature for children. The subjective and objective preconditions of the formation of different author’s aesthetic and pedagogical concepts are identified

    Modeling the Interface Between the Social Geosystem and the Environment

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    Abstract. This article deals with the context of a new rationality in modeling due to the climate agenda and the introduction of ESG-type principles. We studied a geosystem with homogeneous ecosystems that have a similar geological basement, relief mesoforms, and industrial-territorial complexes. They function in a unified institutional climate. In this case, the focus was on the mesoscale of the systems. The institutional order was based on the relationship between private and general institutions, and organizational features of regions. The Dixit-Stiglitz monopolistic competition model was used to account for financial performance and utility in an equilibrium industry with high nature intensity. What was new was the introduction of the concept of social brands associated with ecosystem services and used simultaneously to account for the utility and customization of the new economic order, as well as the introduction of a social discount rate (a discount factor). Social brands create a certain ‘green’ meaningful context in relation to natural capital and acting brands through social platforms. Thus, the society, through the mechanism of social brands, is offered a new format of interactions in which the structure of social brands becomes a priority in relation to the productive structure of the economy. Keywords: climate agenda, natural and social geosystems, utility, social discount, social bran

    Structure of the concept of personality oriented physical education university students

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    The features of the structure of the concept of personality-oriented physical education students is shown. The study involved 560 students. The features section of the concept, including the guidelines of the administration and public organizations of the university is found out. It is describe the programs and technology of physical culture development of the individual student. Structure of the concept of personality-oriented physical education provides a holistic, systematic approach to solving problems of physical education and foundation of a healthy way of life of students. The features of the application of technology in a healthy lifestyle during the personal-oriented physical education are found out. The features of the organization and management of forms the concept and program of individually oriented physical education

    Methodological foundations of individually oriented approaches to ground of physical education unprofessional university students

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    The methodological basis of personality-oriented approach to support the system of non-professional physical education students is considered. The study involved 560 students. The concept of linking physical fitness of a man with his physicality is conducted. Found that the impacts of bodily state acquires the status of the personal qualities of the individual becomes social in content, acquires the status of cultural value. Found that teachers give priority to provide students with knowledge and skills. Much less attention teachers pay motor component discipline. It is recommended areas of complex application axiological, cultural and personal-oriented approaches in the context of the reform process of physical education students
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