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Search results for: FL OW PATTERN MAP
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Spike patterns and chaos in a map-based neuron model
PublicationThe work studies the well-known map-based model of neuronal dynamics introduced in 2007 by Courbage, Nekorkin and Vdovin, important due to various medical applications. We also review and extend some of the existing results concerning β-transformations and (expanding) Lorenz mappings. Then we apply them for deducing important properties of spike-trains generated by the CNV model and explain their implications for neuron behaviour....
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Analysis of dynamics of a map-based neuron model via Lorenz maps
PublicationModeling nerve cells can facilitate formulating hypotheses about their real behavior and improve understanding of their functioning. In this paper, we study a discrete neuron model introduced by Courbage et al. [Chaos 17, 043109 (2007)], where the originally piecewise linear function defining voltage dynamics is replaced by a cubic polynomial, with an additional parameter responsible for varying the slope. Showing that on a large...
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Connection of microcosm with macrocosm in Max Scheler's philosophy: man, logos and ethos
PublicationW eseju pokazałem znaczenie mikrokosmicznego wymiaru w ludzkim personalnym życiu. To jest w świecie Zachodu kompleksowa próba, aby uchwycić związek "mikrokosmosu" z "makrokosmosem w filozoficznym dziele Maxa Schelera. Następnie uwypukliłem, że z racji jego powiązania jako pojęcia "mikrokosmosu" z kwestią kształcenia, wtedy w indywidualnej ludzkiej osobie pojęcie to osiąga "prawo obywatelstwa" w Schelerowskiej...
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GRANULAR MATTER
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An absorbing set for the Chialvo map
PublicationThe classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...
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A Wideband Rotary-Joint-Free H-Plane Horn Antenna With 360° Steerable Radiation Pattern Using Gap Waveguide Technology
PublicationConsidering the limitations of electronically steerable antennas such as limited steering span, gain degradation for large steering angles, complexity, and cost, this article is focused on the design of a simple mechanically steerable H-plane horn antenna. It is shown that since there is no need for an electrical connection between the top and bottom sections of a gap waveguide (GWG), if a sectoral horn is properly designed and realized...
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Flow Maps and Flow Patterns of R1233zd(E) in a Circular Minichannel at Low, Medium and High Values of Saturation Pressure
PublicationThere is a gap in knowledge regarding the flow pattern of low-boiling working fluids in the range of high saturation temperatures (above 120°C) and medium and high reduced pressures (0.5-0.9). Data are present in the literature for similar values of reduced pressures, but for lower values of saturation temperature. This is due to the existing refrigeration applications of these working fluids. At high values of reduced pressure,...
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The Eastern Battery in Świnoujście, Poland - history and architecture of a Prussian coastal fort from the 19th century
PublicationThe article describes the history, architecture and development of the Eastern Battery (also known as the Gerhard Fort) – one of three remaining coastal forts in Świnoujście (former Swinemünde) located in northern Poland, by the Baltic Sea. The research is mostly based on historical cartographic material and architectural plans verified during field studies. This data served to create a digital model – one of the results of the...
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Inducing a map on homology from a correspondence
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Shadowing is generic---a continuous map case
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