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Klio, ISSN 2070-9773, 01/2005, Volume 4, Issue 27, pp. 243 - 252
The article is devoted to P.N. Kolokolnikov, the outstanding representative of the Russian trade-union movement of the first quarter of the XX century.... 
Kolokolnikov, Pavel
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 04/2015, Volume 471, pp. 122 - 140
We investigate the bounds on algebraic connectivity of graphs subject to constraints on the number of edges, vertices, and topology. We show that the algebraic... 
Trees | Algebraic connectivity | Optimal networks | Cubic graphs | EIGENVALUE | MATHEMATICS | MATHEMATICS, APPLIED | CONSENSUS | SPECTRUM | EXPANDER GRAPHS
Journal Article
The Mathematical Intelligencer, ISSN 0343-6993, 12/2017, Volume 39, Issue 4, pp. 30 - 40
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s00283-017-9751-9 
Mathematics, general | Mathematical Methods in Physics | Mathematics | Numerical and Computational Physics, Simulation | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | MATHEMATICS | Cutting
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 01/2020, Volume 402, p. 132247
We consider the Gierer–Meinhardt model in one dimension with a spatially-dependent precursor μ(x) which was proposed as a model of cell differentiation with... 
Reaction-diffusion systems | Pattern formation | Heterogeneous media | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | PHYSICS, MATHEMATICAL
Journal Article
SIAM Review, ISSN 0036-1445, 2018, Volume 60, Issue 3, pp. 626 - 645
We develop novel mathematical techniques to study spot patterns in reaction-diffusion systems with space-dependent feed rate. The techniques are illustrated on... 
Schnakenberg model | Hopf bifurcation | Matched asymptotics | Mean first passage time | Reaction-diffusion | EXISTENCE | GIERER-MEINHARDT MODEL | SEMIARID VEGETATION | MATHEMATICS, APPLIED | GRAY-SCOTT MODEL | STABILITY | mean first passage time | BOSE-EINSTEIN CONDENSATION | reaction-diffusion | DYNAMICS | matched asymptotics | TURING PATTERNS | URBAN-CRIME
Journal Article
Journal of the Royal Society Interface, ISSN 1742-5689, 05/2014, Volume 11, Issue 94, p. 20131208
Journal Article
Welding in the World, ISSN 0043-2288, 1/2017, Volume 61, Issue 1, pp. 107 - 115
The article considers the non-contact magnetometric diagnostics (NCMD) of buried pipelines. In Russia, China, and other countries, the NCMD is used for gas and... 
Materials Science | Stress distribution | Nondestructive testing | Pipelines | Metallic Materials | Theoretical and Applied Mechanics | Electromagnetic fields | Continuum Mechanics and Mechanics of Materials | METALLURGY & METALLURGICAL ENGINEERING
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 05/2018, Volume 474, Issue 2213, p. 20170553
We consider vortex dynamics in the context of Bose-Einstein condensates (BECs) with a rotating trap, with or without anisotropy. Starting with the... 
Bose-Einstein condensates | Vortex crystals | Vortex dynamics | DERIVATION | VORTEX FORMATION | VORTICES | STABILITY | MULTIDISCIPLINARY SCIENCES | vortex dynamics | MOTION | EQUILIBRIA | vortex crystals | DYNAMICS | GROSS-PITAEVSKII EQUATION | LANDAU MODEL | 1008 | Bose–Einstein condensates | 120 | 1009
Journal Article
Nonlinearity, ISSN 0951-7715, 03/2017, Volume 30, Issue 4, pp. 1536 - 1563
We consider a single spot solution for the Schnakenberg model in a two-dimensional unit disk in the singularly perturbed limit of a small diffusivity ratio.... 
92B99 | 35B40 | spike patterns Mathematics Subject Classification numbers: 35K57 | pattern formation | reaction-diffusion systems | EXISTENCE | GIERER-MEINHARDT MODEL | MATHEMATICS, APPLIED | GRAY-SCOTT MODEL | STABILITY | PATTERNS | PHYSICS, MATHEMATICAL | spike patterns | SCHNAKENBERG MODEL | SPIKE AUTOSOLITONS | OSCILLATORY INSTABILITIES | SYSTEMS | SPIRAL WAVES
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 07/2011, Volume 84, Issue 1, p. 015203
Pairwise particle interactions arise in diverse physical systems ranging from insect swarms to self-assembly of nanoparticles. In the presence of long-range... 
SWARMS | MODEL | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Models, Theoretical | Nonlinear Dynamics
Journal Article
Welding in the World, ISSN 0043-2288, 3/2018, Volume 62, Issue 2, pp. 301 - 309
It is known that one of the main sources of damage during operation of machine-building products are local stress concentration zones (SCZ) that form under the... 
Machine-building products | Materials Science | Stress concentration zone | Diagnostics technique | Defect | Metallic Materials | Non-destructive testing | Theoretical and Applied Mechanics | Continuum Mechanics and Mechanics of Materials | Metal magnetic memory method | METALLURGY & METALLURGICAL ENGINEERING
Journal Article
European Journal of Applied Mathematics, ISSN 0956-7925, 02/2019, Volume 30, Issue 1, pp. 196 - 218
Recent experiments have shown that patterns can emerge in bacterial colonies genetically modified to have a drop in diffusion when population densities... 
state-dependent diffusion | Bacterial aggregation | pattern formation | MATHEMATICS, APPLIED | STABILITY | DYNAMICS | EQUATION | CHEMOTAXIS MODEL | Diffusion rate | Computer simulation | Colonies | Dynamic stability | Bacteria | Bifurcations | Mathematical models | Hopf bifurcation | Density | Genetic modification
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 12/2018, Volume 376, Issue 2135, p. 20180110
For a large class of reaction-diffusion systems with large diffusivity ratio, it is well known that a two-dimensional stripe (whose cross-section is a... 
Stability of patterns | Pattern formation | Reaction–diffusion systems | EXISTENCE | SYSTEM | GIERER-MEINHARDT MODEL | GRAY-SCOTT MODEL | TIGER BUSH | reaction-diffusion systems | MULTIDISCIPLINARY SCIENCES | VEGETATION PATTERNS | SCHNAKENBERG MODEL | DYNAMICS | BANDED VEGETATION | pattern formation | stability of patterns | 1008 | reaction–diffusion systems
Journal Article
Welding in the World, ISSN 0043-2288, 2/2013, Volume 57, Issue 1, pp. 123 - 136
The magnetic memory of metal (MMM) is an after-effect, which occurs in the form of metal residual magnetization in components and welded joints formed in the... 
Fatigue tests | Monitoring system | Tensile tests | Material Science | Metallic Materials | Theoretical and Applied Mechanics | Continuum Mechanics and Mechanics of Materials | (IIW Thesaurus): Fatigue tests | METALLURGY & METALLURGICAL ENGINEERING
Journal Article
Welding in the World, ISSN 0043-2288, 9/2014, Volume 58, Issue 5, pp. 699 - 706
The magnetic memory of metal (MMM) is an aftereffect, which occurs in the form of metal residual magnetization in components and welded joints formed in the... 
Nondestructive testing | Mechanical properties | Material Science | Metallic Materials | Residual stresses | Theoretical and Applied Mechanics | Hardness | Continuum Mechanics and Mechanics of Materials | Strain | METALLURGY & METALLURGICAL ENGINEERING
Journal Article
Proceedings: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 8/2014, Volume 470, Issue 2168, pp. 1 - 18
Journal Article
European Journal of Applied Mathematics, ISSN 0956-7925, 12/2015, Volume 26, Issue 6, pp. 945 - 958
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 1/2014, Volume 74, Issue 5, pp. 1375 - 1396
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 12/2017, Volume 361, pp. 35 - 41
We consider a variant of the Bouchaud–Mézard model for wealth distribution in a society which incorporates the interaction radius between the agents, to model... 
Wealth hot-spots | Wealth mobility | Great Gatsby curve | Kuznets curve | DISTRIBUTIONS | STATISTICAL-MECHANICS | MATHEMATICS, APPLIED | MONEY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | WEALTH | INCOME INEQUALITY | Analysis | Globalization | Equality
Journal Article
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