Vol 26, No 3 (2017)

Spatial characteristics of brain matter affect dynamics of informational flow. It seems important to investigate into the topology of neural information to better understand biological neural nets as well as for their computer science analogs. Mathematical braids are proposed as tool for modeling the neuronal topology. Neurological basis of neuronal path is reviewed. We demonstrate mathematical algorithms for path description and transformation. A simulation environment for neural braid construction and transformation is implemented. Experimental evaluation of 1310719 braid-defined neural topologies illustrates how neural path intersections affect information processing and memory recall. The mathematical representation of synaptic pruning is proposed. Pruning of neural nets shows the applicability of the approach to the simplification of neural graphs for computational resource saving.

An approach to model the parameters of LNA which is ideal for GLONASS navigation system. To design LNA, multilayer perceptron architecture is used. The parameters of LNA are calculated using Levenberg Marquardt Backpropagation Algorithm for the frequency range 300 MHz to 18 GHz. ANN model is trained using Agilent MGA 71543 Low Noise Amplifier datasheet and this model shows high regression. The smith and polar charts are plotted for frequency range 300 MHz to 18 GHz and parameters are calculated for center frequency of L1 band of GLONASS, which is 1.602 GHz.

Singular optics is the important and dynamically developed area of modern photonics merging with nono-physics, metamaterials, biomedical optics and having promising applications in metrology, interferometry, manipulation of minute quantities of a matter, as well as in information optics, including optical computing and telecommunications. Since the beginning of the Third Millenium, singular optics trends toward expansing on partially coherent, heterogeneously polarized and polychromatic light fields. We consider here some early forerunners of this trend showing that important prereqisities of correlation singular optics lie in the fundamentals of classical optics, such as the notions of diffraction, partial coherence and partial polarization, that put in evidence logicality and prospects of this field of research.