66 research outputs found

    Algorithm for individual learning content formation in automated machine learning system

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    The study describes the algorithms used in the formation of individual learning content which can be used in machine learning. The algorithm for generating educational content based on the input test procedure, thereby reducing the number of elementary units of knowledge in the educational conten

    Dynamics of risk degree of innovation-driven growth at higher education institutions

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    In this article, the analysis of dynamics of risk degree of innovation-driven growth at higher education institutions is discussed. The survey has been employed in this paper and the data analyzed by SPSS software. Results revealed that the resulting risks are regularly encountered in a modern Russian higher educational institution: inability to provide necessary financial support for educational activities; inability to provide required modern material and technical basis; challenges and failures in collaboration with enterprises for organizing practical training for students and the absence of practical training programs at the university. It is also indicated that the risk event might lead to different results: negative, positive, or nul

    Characterization of Ni-Cd Nanostructured System Obtained by Chemical Reduction of Salts

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    The process of obtaining of highly dispersed metal powders of Ni-Cd system by reduction of their salts by hydrazine in aqueous medium at high alkalinity was investigated. The possibility of production metal powders containing up to 50 mol% of cadmium is established and conditions for their synthesis are optimized. Phase composition, structural parameters, dispersity of solid products during the reduction process were studied by X-ray diffraction (XRD) and SAXS. The formation of metal solid solutions with FCC lattice contradicts to the known phase diagram for Ni-Cd and may be explained by increasing the energy of the particles in the nanostate. The formation of intermetallide NiCd5 in the studied compositions area is caused by sequential character of reduction process; as a result the metal product on the initial stage of reduction is significantly enriched with cadmium

    Kinetics of exciton photoluminescence in type-II semiconductor superlattices

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    The exciton decay rate at a rough interface in type-II semiconductor superlattices is investigated. It is shown that the possibility of recombination of indirect excitons at a plane interface essentially affects kinetics of the exciton photoluminescence at a rough interface. This happens because of strong correlation between the exciton recombination at the plane interface and at the roughness. Expressions that relate the parameters of the luminescence kinetics with statistical characteristics of the rough interface are obtained. The mean height and length of roughnesses in GaAs/AlAs superlattices are estimated from the experimental data.Comment: 3 PostScript figure

    Darboux transformations, finite reduction groups and related Yang-Baxter maps

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    In this paper we construct Yang-Baxter (YB) maps using Darboux matrices which are invariant under the action of finite reduction groups. We present 6-dimensional YB maps corresponding to Darboux transformations for the Nonlinear Schr\"odinger (NLS) equation and the derivative Nonlinear Schr\"odinger (DNLS) equation. These YB maps can be restricted to 4βˆ’4-dimensional YB maps on invariant leaves. The former are completely integrable and they also have applications to a recent theory of maps preserving functions with symmetries \cite{Allan-Pavlos}. We give a 6βˆ’6- dimensional YB-map corresponding to the Darboux transformation for a deformation of the DNLS equation. We also consider vector generalisations of the YB maps corresponding to the NLS and DNLS equation.Comment: 18 pages, revised version. The format of the paper has changed, we added one sectio

    The effectiveness of management of competitiveness of large corporate structures

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    ВСрСскун, М. Π’. Π•Ρ„Π΅ΠΊΡ‚ΠΈΠ²Π½Ρ–ΡΡ‚ΡŒ управління ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΡ€ΠΎΠΌΠΎΠΆΠ½Ρ–ΡΡ‚ΡŽ Π²Π΅Π»ΠΈΠΊΠΈΡ… ΠΊΠΎΡ€ΠΏΠΎΡ€Π°Ρ‚ΠΈΠ²Π½ΠΈΡ… структур / М. Π’. ВСрСскун, Π‘. Π’. Π—Π°Ρ…Π°Ρ€ΠΎΠ² // Вісник ΠŸΡ€ΠΈΠ°Π·ΠΎΠ²ΡΡŒΠΊΠΎΠ³ΠΎ Π΄Π΅Ρ€ΠΆΠ°Π²Π½ΠΎΠ³ΠΎ Ρ‚Π΅Ρ…Π½Ρ–Ρ‡Π½ΠΎΠ³ΠΎ унівСрситСту : Π·Π±. Π½Π°ΡƒΠΊΠΎΠ²ΠΈΡ… ΠΏΡ€Π°Ρ†ΡŒ / ΠŸΠ”Π’Π£. – ΠœΠ°Ρ€Ρ–ΡƒΠΏΠΎΠ»ΡŒ, 2016. – Π’ΠΈΠΏ. 32, Π’. 1. – Π‘. 91–98. – (БСрія : Π•ΠΊΠΎΠ½ΠΎΠΌΡ–Ρ‡Π½Ρ– Π½Π°ΡƒΠΊΠΈ).Π’ статті ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ Π°Π½Π°Π»Ρ–Π· Ρ‚Π΅ΠΌΠΏΡ–Π² Ρ€ΠΎΠ·Π²ΠΈΡ‚ΠΊΡƒ світового Ρ€ΠΈΠ½ΠΊΡƒ сталі протягом останніх п’яти Ρ€ΠΎΠΊΡ–Π², Ρ‚Π°ΠΊΠΎΠΆ Π°Π½Π°Π»Ρ–Π· Π΄ΠΈΠ½Π°ΠΌΡ–ΠΊΠΈ Ρ€ΠΎΠ·Π²ΠΈΡ‚ΠΊΡƒ ΡƒΠΊΡ€Π°Ρ—Π½ΡΡŒΠΊΠΎΡ— ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ— Β«Metinvest Holding LLCΒ» Π·Π° Ρ†Π΅ΠΉ ΠΆΠ΅ ΠΏΠ΅Ρ€Ρ–ΠΎΠ΄ часу. З’ясовано основні Ρ‚Π΅Π½Π΄Π΅Π½Ρ†Ρ–Ρ— Ρ€ΠΎΠ·Π²ΠΈΡ‚ΠΊΡƒ світової ΠΌΠ΅Ρ‚Π°Π»ΡƒΡ€Π³Ρ–ΠΉΠ½ΠΎΡ— Π³Π°Π»ΡƒΠ·Ρ–. Π—Ρ€ΠΎΠ±Π»Π΅Π½ΠΎ висновок ΠΏΡ€ΠΎ Π½Π°ΡΠ²Π½Ρ–ΡΡ‚ΡŒ стагнації Ρ– ΠΏΠΎΡ‡Π°Ρ‚ΠΎΠΊ Ρ€ΠΎΠ·Π²ΠΈΡ‚ΠΊΡƒ ΠΊΡ€ΠΈΠ·ΠΈ Ρƒ світовій ΠΌΠ΅Ρ‚Π°Π»ΡƒΡ€Π³Ρ–ΠΉΠ½Ρ–ΠΉ Π³Π°Π»ΡƒΠ·Ρ–. ΠŸΡ€ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ Π°Π½Π°Π»Ρ–Π· основних Π²ΠΈΡ€ΠΎΠ±Π½ΠΈΡ‡ΠΎ-Π΅ΠΊΠΎΠ½ΠΎΠΌΡ–Ρ‡Π½ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Π΄Ρ–ΡΠ»ΡŒΠ½ΠΎΡΡ‚Ρ– ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ— Β«Metinvest Holding LLCΒ». ΠŸΡ€ΠΎΠ°Π½Π°Π»Ρ–Π·ΠΎΠ²Π°Π½ΠΎ Π΄ΠΈΠ½Π°ΠΌΡ–ΠΊΡƒ Ρ‚Π°ΠΊΠΈΡ… Π΅ΠΊΠΎΠ½ΠΎΠΌΡ–Ρ‡Π½ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² як Ρ€Ρ–Π²Π΅Π½ΡŒ Π΄ΠΎΡ…ΠΎΠ΄Ρ–Π², EBITDA, чистого ΠΏΡ€ΠΈΠ±ΡƒΡ‚ΠΊΡƒ, вартості Π°ΠΊΡ‚ΠΈΠ²Ρ–Π² ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ—, Π° Ρ‚Π°ΠΊΠΎΠΆ Π΄ΠΈΠ½Π°ΠΌΡ–ΠΊΡƒ Ρ‚Π°ΠΊΠΈΡ… Π²ΠΈΡ€ΠΎΠ±Π½ΠΈΡ‡ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π², як обсяги Π²ΠΈΡ€ΠΎΠ±Π½ΠΈΡ†Ρ‚Π²Π° сталі, обсяги Π²ΠΈΠ΄ΠΎΠ±ΡƒΡ‚ΠΊΡƒ Π·Π°Π»Ρ–Π·Π½ΠΎΡ— Ρ€ΡƒΠ΄ΠΈ Ρ– вугілля. Π—Ρ€ΠΎΠ±Π»Π΅Π½ΠΎ висновок ΠΏΡ€ΠΎ Ρ‚Π΅, Ρ‰ΠΎ основною ΠΏΡ€ΠΈΡ‡ΠΈΠ½ΠΎΡŽ зниТСння СфСктивності Ρ– збитковості ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ— Ρ” змСншСння обсягів Π²ΠΈΡ€ΠΎΠ±Π½ΠΈΡ†Ρ‚Π²Π° основних ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚Ρ–Π² ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ—: сталі, Π·Π°Π»Ρ–Π·Π½ΠΎΡ— Ρ€ΡƒΠ΄ΠΈ, кам’яного вугілля. Π—Π° допомогою Π°Π²Ρ‚ΠΎΡ€ΡΡŒΠΊΠΎΡ— ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊΠΈ ΠΎΡ†Ρ–Π½Π΅Π½ΠΎ Ρ€Ρ–Π²Π΅Π½ΡŒ СфСктивності управління ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΡ€ΠΎΠΌΠΎΠΆΠ½Ρ–ΡΡ‚ΡŽ ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ—. На основі Π°Π½Π°Π»Ρ–Π·Ρƒ основних Π²ΠΈΡ€ΠΎΠ±Π½ΠΈΡ‡ΠΎ-Π΅ΠΊΠΎΠ½ΠΎΠΌΡ–Ρ‡Π½ΠΈΡ… ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡ–Π² Ρ‚Π° Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ–Π² Ρ€ΠΎΠ·Ρ€Π°Ρ…ΡƒΠ½ΠΎΠΊ ΠΊΠΎΠ΅Ρ„Ρ–Ρ†Ρ–Ρ”Π½Ρ‚Π° СфСктивності управління ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΡ€ΠΎΠΌΠΎΠΆΠ½Ρ–ΡΡ‚ΡŽ Π·Ρ€ΠΎΠ±Π»Π΅Π½ΠΎ висновок ΠΏΡ€ΠΎ зниТСння СфСктивності управління ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΡ€ΠΎΠΌΠΎΠΆΠ½Ρ–ΡΡ‚ΡŽ Π² ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ— Β«Metinvest Holding LLCΒ». Π—Π° допомогою Ρ€ΠΎΠ·Ρ€Π°Ρ…ΡƒΠ½ΠΊΡ–Π² Π΄ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ, Ρ‰ΠΎ Π½Π°ΠΉΠ±Ρ–Π»ΡŒΡˆΠ΅ зниТСння СфСктивності відбулося Π² управління Ρ€Π΅ΡΡƒΡ€ΡΠ½ΠΎΡŽ ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΡ€ΠΎΠΌΠΎΠΆΠ½Ρ–ΡΡ‚ΡŽ, Ρ‰ΠΎ ΡΠ²Ρ–Π΄Ρ‡ΠΈΡ‚ΡŒ ΠΏΡ€ΠΎ Π½Π΅ΠΎΠ±Ρ…Ρ–Π΄Π½Ρ–ΡΡ‚ΡŒ Π·Π²Π΅Ρ€Π½ΡƒΡ‚ΠΈ ΡƒΠ²Π°Π³Ρƒ ΠΊΠ΅Ρ€Ρ–Π²Π½ΠΈΡ†Ρ‚Π²Π° ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ— Π½Π° підвищСння СфСктивності використання рСсурсів ΠΊΠΎΠΌΠΏΠ°Π½Ρ–Ρ—. Π’Π°ΠΆΠ»ΠΈΠ²ΠΈΠΌ Ρ€Π΅Π·Π΅Ρ€Π²ΠΎΠΌ підвищСння СфСктивності управління ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΡ€ΠΎΠΌΠΎΠΆΠ½Ρ–ΡΡ‚ΡŽ Ρ” використання ΡƒΠΏΡ€Π°Π²Π»Ρ–Π½ΡΡŒΠΊΠΈΡ… синСргій, Ρ‰ΠΎ Π²ΠΈΠ½ΠΈΠΊΠ°ΡŽΡ‚ΡŒ Π² процСсі управління Π²Π΅Π»ΠΈΠΊΠΈΠΌΠΈ ΠΊΠΎΡ€ΠΏΠΎΡ€Π°Ρ‚ΠΈΠ²Π½ΠΈΠΌΠΈ структурами.Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½ Π°Π½Π°Π»ΠΈΠ· Ρ‚Π΅ΠΌΠΏΠΎΠ² развития ΠΌΠΈΡ€ΠΎΠ²ΠΎΠ³ΠΎ Ρ€Ρ‹Π½ΠΊΠ° стали Π·Π° послСдниС ΠΏΡΡ‚ΡŒ Π»Π΅Ρ‚, Π° Ρ‚Π°ΠΊΠΆΠ΅ Π°Π½Π°Π»ΠΈΠ· Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ развития украинской ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ Β«Metinvest Holding LLCΒ» Π·Π° этот ΠΆΠ΅ ΠΏΠ΅Ρ€ΠΈΠΎΠ΄ Π²Ρ€Π΅ΠΌΠ΅Π½ΠΈ. ВыявлСны основныС Ρ‚Π΅Π½Π΄Π΅Π½Ρ†ΠΈΠΈ развития ΠΌΠΈΡ€ΠΎΠ²ΠΎΠΉ мСталлургичСской отрасли. Π‘Π΄Π΅Π»Π°Π½ Π²Ρ‹Π²ΠΎΠ΄ ΠΎ Π½Π°Π»ΠΈΡ‡ΠΈΠΈ стагнации ΠΈ Π½Π°Ρ‡Π°Π»Π΅ развития кризиса Π² ΠΌΠΈΡ€ΠΎΠ²ΠΎΠΉ мСталлургичСской отрасли. ΠŸΡ€ΠΎΠ²Π΅Π΄Π΅Π½ Π°Π½Π°Π»ΠΈΠ· основных производствСнно-экономичСских ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ Π΄Π΅ΡΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ Β«Metinvest Holding LLCΒ». ΠŸΡ€ΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Π° Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠ° Ρ‚Π°ΠΊΠΈΡ… экономичСских ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΊΠ°ΠΊ ΡƒΡ€ΠΎΠ²Π΅Π½ΡŒ Π΄ΠΎΡ…ΠΎΠ΄ΠΎΠ², EBITDA, чистой ΠΏΡ€ΠΈΠ±Ρ‹Π»ΠΈ, стоимости Π°ΠΊΡ‚ΠΈΠ²ΠΎΠ² ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ, Π° Ρ‚Π°ΠΊΠΆΠ΅ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΡƒ Ρ‚Π°ΠΊΠΈΡ… производствСнных ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ, ΠΊΠ°ΠΊ ΠΎΠ±ΡŠΠ΅ΠΌΡ‹ производства стали, ΠΎΠ±ΡŠΠ΅ΠΌΡ‹ Π΄ΠΎΠ±Ρ‹Ρ‡ΠΈ ΠΆΠ΅Π»Π΅Π·Π½ΠΎΠΉ Ρ€ΡƒΠ΄Ρ‹ ΠΈ угля. Π‘Π΄Π΅Π»Π°Π½ Π²Ρ‹Π²ΠΎΠ΄ ΠΎ Ρ‚ΠΎΠΌ, Ρ‡Ρ‚ΠΎ основной ΠΏΡ€ΠΈΡ‡ΠΈΠ½ΠΎΠΉ сниТСния эффСктивности ΠΈ убыточности ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ являСтся ΡƒΠΌΠ΅Π½ΡŒΡˆΠ΅Π½ΠΈΠ΅ объСмов производства основных ΠΏΡ€ΠΎΠ΄ΡƒΠΊΡ‚ΠΎΠ² ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ: стали, ΠΆΠ΅Π»Π΅Π·Π½ΠΎΠΉ Ρ€ΡƒΠ΄Ρ‹, ΠΊΠ°ΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ угля. Π‘ ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ авторской ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΠΊΠΈ ΠΎΡ† Π΅Π½Π΅Π½ ΡƒΡ€ΠΎΠ²Π΅Π½ΡŒ эффСктивности управлСния ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡ‚ΡŒΡŽ ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ. На основС Π°Π½Π°Π»ΠΈΠ·Π° основных производствСнно-экономичСских ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΈ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΎΠ² расчСта коэффициСнта эффСктивности управлСния ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡ‚ΡŒΡŽ сдСлан Π²Ρ‹Π²ΠΎΠ΄ ΠΎ сниТСнии эффСктивности управлСния ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡ‚ΡŒΡŽ Π² ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ Β«Metinvest Holding LLCΒ». Π‘ ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ расчСтов Π΄ΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ наибольшСС сниТСниС зафиксировано ΠΏΡ€ΠΈ ΠΎΡ†Π΅Π½ΠΊΠ΅ эффСктивности управлСния рСсурсной ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡ‚ΡŒΡŽ, Ρ‡Ρ‚ΠΎ ΡΠ²ΠΈΠ΄Π΅Ρ‚Π΅Π»ΡŒΡΡ‚Π²ΡƒΠ΅Ρ‚ ΠΎ нСобходимости ΠΎΠ±Ρ€Π°Ρ‚ΠΈΡ‚ΡŒ Π²Π½ΠΈΠΌΠ°Π½ΠΈΠ΅ руководства ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ Π½Π° ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΠ΅ эффСктивности использования рСсурсов ΠΊΠΎΠΌΠΏΠ°Π½ΠΈΠΈ. Π’Π°ΠΆΠ½Ρ‹ΠΌ Ρ€Π΅Π·Π΅Ρ€Π²ΠΎΠΌ ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΡ эффСктивности управлСния ΠΊΠΎΠ½ΠΊΡƒΡ€Π΅Π½Ρ‚ΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡ‚ΡŒΡŽ являСтся использованиС управлСнчСских синСргий, Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡŽΡ‰ΠΈΡ… Π² процСссС управлСния ΠΊΡ€ΡƒΠΏΠ½Ρ‹ΠΌΠΈ ΠΊΠΎΡ€ΠΏΠΎΡ€Π°Ρ‚ΠΈΠ²Π½Ρ‹ΠΌΠΈ структурами.structures. The article analyzes the pace of the global steel market development over the past five years. The dynamics of Β«Metinvest Holding LLCΒ» Ukrainian companies for the same period of time. The basic tendencies of development of the global steel industry. The analysis of basic production and economic performance of Β«Metinvest Holding LLCΒ»y. The dynamics of economic indicators: the level revenues, EBITDA, net profit, the value of the company's assets. The dynamics of production indicators: steel production, the volume of iron ore and coal mining. The main reason for the decline and loss of efficiency of the company is to reduce the volume of production of the main products of the company: steel, iron ore and coal. Using the author's methods to assess the level of efficiency of management of competitiveness of the company. Based on the analysis of basic production and economic indicators and the results of the calculation of the efficiency factor of competitiveness management concluded that reducing the efficiency of management of competitiveness of the company Β«Metinvest Holding LLCΒ». Using calculations proved that the largest decline recorded in the evaluation of the effectiveness of resource management competitiveness. Guide companies need to pay attention to the efficient use of all resources. Important reserve for increasing the efficiency of management of competitiveness is the use of administrative synergies that arise in the management of large corporate structures

    Bose--Einstein solitons in highly asymmetric traps

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    We obtain analytic solutions to the Gross-Pitaevskii equation with negative scattering length in highly asymmetric traps. We find that in these traps the Bose--Einstein condensates behave like quasiparticles and do not expand when the trapping in one direction is eliminated. The results can be applicable to the control of the motion of Bose--Einstein condensates.Comment: 12 pages, Latex, Figures available under request on [email protected]

    Globular Clusters as Candidates for Gravitational Lenses to Explain Quasar-Galaxy Associations

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    We argue that globular clusters (GCs) are good candidates for gravitational lenses in explaining quasar-galaxy associations. The catalog of associations (Bukhmastova 2001) compiled from the LEDA catalog of galaxies (Paturel 1997) and from the catalog of quasars (Veron-Cetty and Veron 1998) is used. Based on the new catalog containing 8382 pairs, we show that one might expect an increased number of GCs around irregular galaxies of types 9 and 10 from the hypothesis that distant compact sources are gravitationally lensed by GCs in the halos of foreground galaxies. The King model is used to determine the central surface densities of 135 GCs in the Milky Way. The distribution of GCs in central surface density was found to be lognormal.Comment: 22 pages, 4 figure

    Extended parametric resonances in nonlinear Schrodinger systems

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    We study an example of exact parametric resonance in a extended system ruled by nonlinear partial differential equations of nonlinear Schr\"odinger type. It is also conjectured how related models not exactly solvable should behave in the same way. The results have applicability in recent experiments in Bose-Einstein condensation and to classical problems in Nonlinear Optics.Comment: 1 figur

    DISCRETE BREATHERS IN MONOATOMIC FCC CRYSTALS AU, PD

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    ΠœΠ΅Ρ‚ΠΎΠ΄ΠΎΠΌ молСкулярной Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ Π² ΠΌΠΎΠ½ΠΎΠ°Ρ‚ΠΎΠΌΠ½Ρ‹Ρ… Π“Π¦Πš-кристаллах Au ΠΈ Pd Π±Ρ‹Π» ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½ дискрСтный Π±Ρ€ΠΈΠ·Π΅Ρ€ с ТСстким Ρ‚ΠΈΠΏΠΎΠΌ нСлинСйности. Π˜Π·ΡƒΡ‡Π΅Π½Ρ‹ характСристики дискрСтного Π±Ρ€ΠΈΠ·Π΅Ρ€Π°, ΠΏΡ€ΠΈΠ²Π΅Π΄Π΅Π½Π° Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡ‚ΡŒ частоты ΠΎΡ‚ Π°ΠΌΠΏΠ»ΠΈΡ‚ΡƒΠ΄Ρ‹. ΠŸΡ€ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ исслСдованиС влияния Π½Π°Ρ‡Π°Π»ΡŒΠ½Ρ‹Ρ… условий Π½Π° характСристики дискрСтного Π±Ρ€ΠΈΠ·Π΅Ρ€Π°.By method of molecular dynamics in the monoatomic FCC crystals Au and Pd was obtained discrete breathers with a hard type of nonlinearity. The characteristics of discrete breathers, the dependence of frequency of the amplitude were received. The influence of the initial conditions on the characteristics of discrete breathers
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