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Journal of Siberian Federal University-Mathematics & Physics最新文献

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Modeling of Anisotropy Dynamics of the Proton Pitch Angle Distribution in the Earth’s Magnetosphere 地球磁层中质子俯仰角分布的各向异性动力学模拟
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-10-01 DOI: 10.17516/1997-1397-2021-14-5-632-637
S. V. Smolin
{"title":"Modeling of Anisotropy Dynamics of the Proton Pitch Angle Distribution in the Earth’s Magnetosphere","authors":"S. V. Smolin","doi":"10.17516/1997-1397-2021-14-5-632-637","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-5-632-637","url":null,"abstract":"Last years the attention to research of anisotropy of the charged particle pitch angle distribution has considerably increased. Therefore for research of anisotropy dynamics of the proton pitch angle distribution is used the two-dimensional Phenomenological Model of the Ring Current (PheMRC 2-D), which includes the radial and pitch angle diffusions with consideration of losses due to wave-particle interactions. Experimental data are collected on the Polar/MICS satellite during the magnetic storm on October 21–22, 1999. Solving the non-stationary two-dimensional equation of pitch angle and radial diffusions, numerically was determined the proton pitch angle distribution anisotropy index (or parameter of the proton pitch angle distribution) for the pitch angle of 90 degrees during the magnetic storm, when the geomagnetic activity Kp-index changed from 2 in the beginning of a storm up to 7+ in the end of a storm. Dependence of the perpendicular proton pitch angle distribution anisotropy index with energy E = 90 keV during the different moments of time from the McIlwain parameter L (2.26 < L < 6.6) is received. It is certain at a quantitative level for the magnetic storm on October 21–22, 1999, when and where on the nightside of the Earth’s magnetosphere (MLT = 2300) to increase in the geomagnetic activity Kp-index there is a transition from normal (pancake) proton pitch angle distributions to butterfly proton pitch angle distributions. That has allowed to determine unequivocally and precisely the anisotropy dynamics of the proton pitch angle distribution in the given concrete case. It is shown, that with increase of the geomagnetic activity Kp-index the boundary of isotropic proton pitch angle distribution comes nearer to the Earth, reaching L ≈ 3.6 at Kp = 7+","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"22 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84148430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Connecting Homomorphism and Separating Cycles 连接同态与分离循环
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-10-01 DOI: 10.17516/1997-1397-2021-14-5-647-658
R. V. Ulvert
{"title":"Connecting Homomorphism and Separating Cycles","authors":"R. V. Ulvert","doi":"10.17516/1997-1397-2021-14-5-647-658","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-5-647-658","url":null,"abstract":"We discuss the construction of a long semi-exact Mayer–Vietoris sequence for the homology of any finite union of open subspaces. This sequence is used to obtain topological conditions of representation of the integral of a meromorphic n-form on an n-dimensional complex manifold in terms of Grothendieck residues. For such a representation of the integral to exist, it is necessary that the cycle of integration separates the set of polar hypersurfaces of the form. The separation condition in a number of cases turns out to be a sufficient condition for representing the integral as a sum of residues. Earlier, when describing such cases (in the works of Tsikh, Yuzhakov, Ulvert, etc.), the key was the condition that the manifold be Stein. The main result of this article is the relaxation of this condition","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"53 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89823863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type 一类具有第三类边界条件的平稳方程的反问题
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-10-01 DOI: 10.17516/1997-1397-2021-14-5-659-666
A. Velisevich
{"title":"On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type","authors":"A. Velisevich","doi":"10.17516/1997-1397-2021-14-5-659-666","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-5-659-666","url":null,"abstract":"The identification of an unknown coefficient in the lower term of elliptic second-order differential equation Mu + ku = f with the boundary condition of the third type is considered. The identification of the coefficient is based on integral boundary data. The local existence and uniqueness of the strong solution for the inverse problem is proved","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"276 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79139622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On Some Decompositions of Matrices over Algebraically Closed and Finite Fields 代数闭域和有限域上矩阵的若干分解
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-10-01 DOI: 10.17516/1997-1397-2021-14-5-547-553
P. Danchev
{"title":"On Some Decompositions of Matrices over Algebraically Closed and Finite Fields","authors":"P. Danchev","doi":"10.17516/1997-1397-2021-14-5-547-553","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-5-547-553","url":null,"abstract":"We study when every square matrix over an algebraically closed field or over a finite field is decomposable into a sum of a potent matrix and a nilpotent matrix of order 2. This can be related to our recent paper, published in Linear & Multilinear Algebra (2022). We also completely address the question when each square matrix over an infinite field can be decomposed into a periodic matrix and a nilpotent matrix of order 2","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"9 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82094508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The Physics Laboratory Works – Individualized Computer Simulations 物理实验室作品-个性化计算机模拟
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-08-13 DOI: 10.25205/2541-9447-2021-16-2-94-104
A. Zaikin, I. Suhanov
{"title":"The Physics Laboratory Works – Individualized Computer Simulations","authors":"A. Zaikin, I. Suhanov","doi":"10.25205/2541-9447-2021-16-2-94-104","DOIUrl":"https://doi.org/10.25205/2541-9447-2021-16-2-94-104","url":null,"abstract":"The physics laboratory-works creating and operating computer simulations experience is described. A significant amount of laboratory works can be classified as a “black box”. The studied physical phenomenon is hidden from direct observation, the control is carried out by means of electrical measuring devices. It is difficult to distinguish physical reality from its imitation when performing such work, so the virtualization of this one does not require realistic images. The schematic representation of the laboratory installation greatly simplifies the process of creating a simulator. A unique set of installation parameters is formed for each student performing laboratory work on the simulator, which contributes to the independence of the student's work. These parameters are stored in Google Sheets. Their transfer to the laboratory work’s html-template is carried out in encrypted form through the Google Apps Script service. Virtual laboratory work is implemented as a cross-platform web application.","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"52 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76557280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of the Particles’ Movement Over the Flat and Profiled Rotating Discs surface in the Velocity Layer of the Viscous Gas 粘性气体速度层中颗粒在平面和异形圆盘表面上的运动分析
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-07-01 DOI: 10.54362/1818-7919-2011-6-2-17-23
Valeriy I. Pinakov, Konstantin V. Kulik, Boris E. Grinberg
{"title":"Analysis of the Particles’ Movement Over the Flat and Profiled Rotating Discs surface in the Velocity Layer of the Viscous Gas","authors":"Valeriy I. Pinakov, Konstantin V. Kulik, Boris E. Grinberg","doi":"10.54362/1818-7919-2011-6-2-17-23","DOIUrl":"https://doi.org/10.54362/1818-7919-2011-6-2-17-23","url":null,"abstract":"Experiments on the rotating in the air cones with vertex angle β = 120º and flat disc shown that on frequencies Ω ≥ 2.5 hertz exists a qualitative difference in movement for the particles with diameters d ≈ 1 mm and d ≈ 0.1 mm. The particles with d ≈ 0.1 mm move in the near-surface region, the particles with d ≈ 1 mm jump up to 3 cm. Comparison of the spherical and aspheric (ellipsoid with axles d, d and 4 /3 d) particles' kinematics moving shown the inevitability of the large particles jump occurrence. Large particles come to self-oscillation regime by reason of periodically appearance of the Magnus force. Small particles are localized in the velocity layer","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"109 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78624321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Origin of «Plasma», or The History of a Word «血浆»的起源，或一个词的历史
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-07-01 DOI: 10.54362/1818-7919-2008-3-2-108-117
Igor A. Kotelnikov
{"title":"Origin of «Plasma», or The History of a Word","authors":"Igor A. Kotelnikov","doi":"10.54362/1818-7919-2008-3-2-108-117","DOIUrl":"https://doi.org/10.54362/1818-7919-2008-3-2-108-117","url":null,"abstract":"The period of plasma physics formation as a science is mythologized. Even the birthday of plasma physics and the parentage of the word «plasma» are disputed. On the eve of 80th anniversary of the paper, where the electrically neutral region of the gas discharge has been named plasma for the first time, it is noteworthy separating the truth from archaeological stratifications.","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"14 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78370378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations Caputo分数阶Volterra-Fredholm积分微分方程的唯一性和稳定性结果
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-313-325
Ahmed A. Hamoud
{"title":"Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations","authors":"Ahmed A. Hamoud","doi":"10.17516/1997-1397-2021-14-3-313-325","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-313-325","url":null,"abstract":"In this paper, we established some new results concerning the uniqueness and Ulam’s stability results of the solutions of iterative nonlinear Volterra-Fredholm integro-differential equations subject to the boundary conditions. The fractional derivatives are considered in the Caputo sense. These new results are obtained by applying the Gronwall–Bellman’s inequality and the Banach contraction fixed point theorem. An illustrative example is included to demonstrate the efficiency and reliability of our results","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"119 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77689995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
A Note on the Conjugacy Between Two Critical Circle Maps 关于两个临界圆映射之间共轭性的一个注记
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-287-300
U. Safarov
{"title":"A Note on the Conjugacy Between Two Critical Circle Maps","authors":"U. Safarov","doi":"10.17516/1997-1397-2021-14-3-287-300","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-287-300","url":null,"abstract":"We study a conjugacy between two critical circle homeomorphisms with irrational rotation number. Let fi, i = 1, 2 be a C3 circle homeomorphisms with critical point x(i) cr of the order 2mi + 1. We prove that if 2m1 + 1 ̸= 2m2 + 1, then conjugating between f1 and f2 is a singular function. Keywords: circle homeomorphism, critical point, conjugating map, rotation number, singular function","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"319 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78384591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytic Continuation of Diagonals of Laurent Series for Rational Functions 有理函数劳伦级数对角线的解析延拓
IF 0.4
Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI: 10.17516/1997-1397-2021-14-3-360-368
D. Pochekutov
{"title":"Analytic Continuation of Diagonals of Laurent Series for Rational Functions","authors":"D. Pochekutov","doi":"10.17516/1997-1397-2021-14-3-360-368","DOIUrl":"https://doi.org/10.17516/1997-1397-2021-14-3-360-368","url":null,"abstract":"We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping. The sufficient condition of non-algebraicity of such a diagonal is proven","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"35 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86006684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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