Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise

We analyze the synchronization dynamics of the thermodynamically large systems of globally coupled phase oscillators under Cauchy noise forcings with bimodal distribution of frequencies and asymmetry between two distribution components. The systems with the Cauchy noise admit the application of the Ott-Antonsen ansatz, which has allowed us to study analytically synchronization transitions both in the symmetric and asymmetric cases. The dynamics and the transitions between various synchronous and asynchronous regimes are shown to be very sensitive to the asymmetry degree whereas the scenario of the symmetry breaking is universal and does not depend on the particular way to introduce asymmetry, be it the unequal populations of modes in bimodal distribution, the phase delay of the Kuramoto-Sakaguchi model, the different values of the coupling constants, or the unequal noise levels in two modes. In particular, we found that even small asymmetry may stabilize the stationary partially synchronized state, and this may happen even for arbitrarily large frequency difference between two distribution modes (oscillator subgroups). This effect also results in the new type of bistability between two stationary partially synchronized states: one with large level of global synchronization and synchronization parity between two subgroups and another with lower synchronization where the one subgroup is dominant, having higher internal (subgroup) synchronization level and enforcing its oscillation frequency on the second subgroup. For the four asymmetry types, the critical values of asymmetry parameters were found analytically above which the bistability between incoherent and partially synchronized states is no longer possible

НЕКАНОНИЧЕСКОЕ СПЕКТРАЛЬНОЕ РАЗЛОЖЕНИЕ СЛУЧАЙНЫХ ФУНКЦИЙ ТЯГОВЫХ НАПРЯЖЕНИЯ И ТОКА В СИСТЕМАХ ЭЛЕКТРИЧЕСКОГО ТРАНСПОРТА

The paper proposes the non-canonical spectral decomposition of random functions of the traction voltages and currents. This decomposition is adapted for the electric transportation systems. The numerical representation is carried out for the random function of voltage on the pantograph of electric locomotives VL8 and DE1.В статье предложено адаптированное к системам электрического транспорта неканоническое разложение случайных процессов тяговых напряжений и токов. Выполнено численное представление случайной функции напряжения на токоприемниках электровозов ВЛ8 и ДЭ1.В статті запропоновано адаптоване до систем електричного транспорту неканонічне розкладання випадкових процесів тягових напруг і струмів. Виконано чисельне представлення випадкової функції напруги на струмоприймачах електровозів ВЛ8 і ДЕ1

The NuMI Neutrino Beam and Potential for an Off-Axis Experiment

The Neutrinos at the Main Injector (NuMI) facility at Fermilab is under construction and due to begin operations in late 2004. NuMI will deliver an intense $\nu_{\mu}$ beam of variable energy 2-20 GeV directed into the Earth at 58 mrad. Several aspects of the design are reviewed, and potential limitations to the ultimate neutrino flux are described. In addition, potential measurements of neutrino mixing properties are described.Comment: talk given at NuFact '02, Imperial College London, proceedings to appear in J. Phys. G, revised to add a referenc

Monitoring of the content of manganese in soils and agricultural plants of the central Chernozem Region of Russia

The paper deals with the analysis of long-term observations of the manganese distribution in the soils of the south-western part of the Central Chernozem region of Russia in the Belgorod regio

Complex analysis of data from agrochemical and soil-erosion monitoring using geoinformation systems

The article describes a comprehensive analysis of agrochemical and soil erosion monitoring data, using the example of the Alekseevsky district of the Belgorod region with the use of a geoinformation system. The GIS automatically generates tables with data grouped by various characteristics: soil type, degree of erosion, slope steepness and exposure. The content of mobile forms of phosphorus and potassium, organic matter, and the level of soil acidity in the context of the district in areas with different exposures, the degree of erosion and the steepness of the slope was analyze

Технологии дистанционного обучения в системе подготовки специалистов по физической культуре и спорту

The features of using of distance learning technologies in the system of preparation of specialists in physical culture and sports. Developed network educational and methodical complex, oriented to support the educational process in high school physical education and the organization of independent work of students.Изучены особенности применения технологий дистанционного обучения в системе подготовки специалистов в сфере физической культуры и спорта. Разработан сетевой учебно-методический комплекс, ориентированный на сопровождение образовательного процесса в вузе физической культуры и организации самостоятельной работы студентов

Cole-Hopf Like Transformation for Schr\"odinger Equations Containing Complex Nonlinearities

We consider systems, which conserve the particle number and are described by Schr\"odinger equations containing complex nonlinearities. In the case of canonical systems, we study their main symmetries and conservation laws. We introduce a Cole-Hopf like transformation both for canonical and noncanonical systems, which changes the evolution equation into another one containing purely real nonlinearities, and reduces the continuity equation to the standard form of the linear theory. This approach allows us to treat, in a unifying scheme, a wide variety of canonical and noncanonical nonlinear systems, some of them already known in the literature. pacs{PACS number(s): 02.30.Jr, 03.50.-z, 03.65.-w, 05.45.-a, 11.30.Na, 11.40.DwComment: 26 pages, no figures, to be appear in J. Phys. A: Math. Gen. (2002