Synchronization of Heterogeneous Kuramoto Oscillators with Arbitrary Topology

We study synchronization of coupled Kuramoto oscillators with heterogeneous inherent frequencies and general underlying connectivity. We provide conditions on the coupling strength and the initial phases which guarantee the existence of a Positively Invariant Set (PIS) and lead to synchronization. Unlike previous works that focus only on analytical bounds, here we introduce an optimization approach to provide a computational-analytical bound that can further exploit the particular features of each individual system such as topology and frequency distribution. Examples are provided to illustrate our results as well as the improvement over previous existing bounds

Pattern Transitions in Unstable Viscous Convective Medium

Convection in a thin layer of liquid (gas) with temperature dependent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. This model is examined in order to study both the flow pattern formation and the second-order structural phase transitions as between patterns with translational invariance as well as between structures with broken translational invariance but keeping a long-range order. The spatial spectrum of arising patterns and estimation of their visual defectiveness are analyzed. The relation between the density of pattern defects and spectral characteristics of the pattern is found. We also discuss the noise effects on the formation of pattern defects. The influence of temperature dependence of viscosity on the process of pattern formation and structure transformations is also discussed. It is shown that the temperature dependence of viscosity inhibits structural transition from regular rolls to square cells

Mechanically deboned poultry meat and its role in rational and efficient use of raw materials

The growth in poultry meat production is a worldwide trend. Industrial poultry meat processing is also developing with production of a wide range of products. The technology of mechanical deboning of poultry meat and carcass parts is widely used in complex non-waste production. Mechanically deboned poultry meat (MDPM) is believed to be of inferior quality and its use is restricted by certain rules in different countries of the world. At the same time, hand separated meat is accepted as conventional meat and is not subjected to any restrictions. Over the last decades, the technology and equipment have been created that allow approximating MDPM to the category “meat” in terms of quality characteristics and reducing risks in its use upon reduction of pressure in the process of its production. However, costs of new equipment that enables producing a product with higher quality do not provide the expected efficiency, and a positive effect will be achieved only in the case of clear legal solutions regarding separation of MDPM types and methods of their classification and identification. The volume of scientific publications concerning a solution to this problematic theme is significant and scientists from many countries search for approaches to its realization differently. The difficulty in finding a solution is caused by the multifaceted nature of the problem, the character of non-standardized raw materials, a type of equipment being used to obtain different MDPM types, and various methods of investigations. Nevertheless, the performed studies create conditions for improvement of the approach to classification of different MDPM types by the production method and maximum allowable threshold values of the main standardized parameters, assessment methods, detection of their characteristics and substantiation of terminology