Probability densities for the sums of iterates of the sine-circle map in the vicinity of the quasi-periodic edge of chaos

We investigate the probability density of rescaled sum of iterates of sine-circle map within quasi-periodic route to chaos. When the dynamical system is strongly mixing (i.e., ergodic), standard Central Limit Theorem (CLT) is expected to be valid, but at the edge of chaos where iterates have strong correlations, the standard CLT is not necessarily to be valid anymore. We discuss here the main characteristics of the central limit behavior of deterministic dynamical systems which exhibit quasi-periodic route to chaos. At the golden-mean onset of chaos for the sine-circle map, we numerically verify that the probability density appears to converge to a q-Gaussian with q<1 as the golden mean value is approached.Comment: 7 pages, 7 figures, 1 tabl

Five-Year Experience In Surgical Treatment Of Temporal Bone Paragangliomas

The article describes our five-year experience in the surgical treatment of temporal bone paragangliomas. Considering our experience, the surgical treatment of patients with different types of paragangliomas based on a detailed study of the CT scan and MRI data using the preoperative selective embolization of tumor-feeding vessels and the navigation system intraoperatively as well as the endoscopy assistance allows total removing of the tumor with minimal damaging of the vital structures of the lateral skull base

Distributed Order Derivatives and Relaxation Patterns

We consider equations of the form $(D_{(\rho)}u)(t)=-\lambda u(t)$, $t>0$, where $\lambda >0$, $D_{(\rho)}$ is a distributed order derivative, that is the Caputo-Dzhrbashyan fractional derivative of order $\alpha$, integrated in $\alpha\in (0,1)$ with respect to a positive measure $\rho$. Such equations are used for modeling anomalous, non-exponential relaxation processes. In this work we study asymptotic behavior of solutions of the above equation, depending on properties of the measure $\rho$

Generation of Three-Qubit Entangled W-State by Nonlinear Optical State Truncation

We propose an alternative scheme to generate W state via optical state truncation using quantum scissors. In particular, these states may be generated through three-mode optical state truncation in a Kerr nonlinear coupler. The more general three-qubit state may be also produced if the system is driven by external classical fields.Comment: 7 pages, 2 figur

Rayleigh and love surface waves with regard to seismic stress state of earth bed

This article presents the results of studies on the propagation of surface seismic waves, which directly affect the stability and strength of a high embankment of the subgrade. The subgrade is the foundation of the railway track. In an elastic half-space with a layer in which surface waves propagate, the conditions for the existence and propagation of a harmonic Rayleigh wave are considered. The equations of motion of a medium in a layer and half-space and their solutions in the form of plane waves propagating in phase along the contact boundary, some general laws of Rayleigh wave propagation are given. The accepted theories and calculation methods' main provisions are proposed for designing a durable and reliable subgrade and considering its seismic stress state

Широкозахватный опрыскиватель с гибким отводом и летательными аппаратами для обработки посевов риса

The article presents the brief analysis of existing technical determinations for spraying, the surface injection of liquid solutions, in the course of which about 75 percent of pesticides used in agricultural production are injected in order to preserve the crop from pests, diseases and weeds. (Purpose of the study) To develop the wide-coverage sprinkler with extended operational and technological capabilities for the rice sowings. (Materials and methods) It has been established that the main criterion for the up-to-date creation of the technical equipment used for spraying is the reduction of norms of the working fluid consumption and the level of environmental pollution by pesticides and also that the domesticmachines for this use coming to the market have low technical performance indicators and insufficient reliability. (Results and discussions) The design of a new wide-coverage spraying machine with a flexible tap and vehicles for the spraying of rice and with extended operational and technological capabilities, containing two propulsion units (one with a current generator, the other with a solution tank and a pressure pipeline) has been suggested. They are equipped with the frames with tensioners and are kinematically connected to each other by a flexible carcase on which the vehicles and suspended nodes of the mud channel with spraying machines are placed. The spraying of the rice fields by vehicles confirms theexpediency of their application in the rice industry for the ensuring of significant reduction in the crop losses from plant diseases. The production of new chemicals with low consumption rates and enhanced biological activity served as the basis for the development of the proposed design of wide-coverage sprinkler to meet modern requirements for sprayers of this type and intended for the use in medium and large rice farms. (Conclusions) The use of the presented wide-coverage sprinkler will allow farmers to apply intensive technology of rice cultivation on rice farms, and it will significantly increase the effectiveness of protective measures and reduce the consumption rates of chemicals, as well as reduce haul costs and spraying of working liquid solutions. The adoption of new technologies and technical means of plant protection that meetmodern requirements are worthy of continued work on their improvement and, in particular, the creation of new technicalmeans of weed controlПриведен краткий анализ существующих технических решений для поверхностного внесения жидких растворов – опрыскивания, в процессе которого вносится до 75 процентов применяемых в сельскохозяйственном производстве ядохимикатов с целью сохранения урожая от вредителей, болезней и сорной растительности. (Цель исследований) Разработать широкозахватный опрыскиватель для посевов риса с расширенными эксплуатацион-но-технологическими возможностями. (Материалы и методы) Отметили, что основным критерием, отвечающим современным требованиям по созданию технических средств для опрыскивания, служит снижение норм расхода рабочей жидкости и уровня загрязнения окружающей среды ядохимикатами. Показали, что поступающие на рынок отечественные машины данного назначения имеют низкие технико-эксплуатационные показатели и недостаточную надежность. (Результат и обсуждение) Предложили конструкцию нового широкозахватного опрыскивателя для риса с расширенными эксплуатационно-технологическими возможностями, с гибким отводом и летательными аппаратами. В конструкцию включены два движителя (один с генератором тока, другой – с емкостью дляраствора и напорным трубопроводом). Они оснащены рамами с натяжителями и кинематически связаны между собой гибким остовом, на котором размещены летательные аппараты и подвесные узлы растворопровода с распылителями. Подтвердили целесообразность обработки рисовых полей летательными аппаратами для обеспечениясущественного сокращения потерь урожая от заболеваний растений. Предложили конструкцию широкозахватного опрыскивателя, отвечающего современным требованиям к опрыскивателям данного вида и предназначенного для применения в средних и крупных рисоводческих хозяйствах при использовании новых химических веществ с небольшими нормами расхода и усиленной биологической активностью. (Выводы) Провели теоретические расчеты, позволяющие обосновать конструктивно-технологические параметры разрабатываемого широкозахватного опрыскивателя, учитывающие основные факторы, оказывающие влияние на качество процесса опрыскивания. Показали, что использование представленного широкозахватного опрыскивателя позволит в рисоводческих хозяйствах применить интенсивную технологию возделывания риса, что существенно повысит эффективность защитных мероприятий и сократит нормы расхода химикатов, а также снизит затраты на транспортировку и внесение жидких рабочих растворо