Nonlinear Maps and their Applications
Academic editor: R. López-Ruiz, D. Fournier-Prunaret, Y. Nishio, C. Grácio
In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists. This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2013) held in Zaragoza, Spain, on September 3-4, 2013. This kind of collaborative effort is of paramount importance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well as researchers in the field.
, , in : Nonlinear Maps and their Applications. : Springer, 2015. P. 203-214.
We discuss the possibility of deriving an H-theorem for the nonlinear discrete time evolution known as Ulam’s redistribution of energy problem. In this model particles are paired at random and then their total energy is redistributed between them according to some probability law. It appears useful to represent the evolution as a combination of two ...
Added: September 4, 2017
, , et al., Chaos, Solitons and Fractals 2020 Vol. 140 Article 110239
Forecasting and analyses of the dynamics of financial and economic processes such as deviations of macroeconomic aggregates (GDP, unemployment, and inflation) from their long-term trends, asset markets volatility, etc., are challenging because of the complexity of these processes. Important related research questions include, first, how to determine the qualitative properties of the dynamics of these ...
Added: October 21, 2020
, , et al., Regular and Chaotic Dynamics 2018 Vol. 23 No. 1 P. 120-126
The dynamics of two coupled antiphase driven Toda oscillators is studied. We demonstrate three diﬀerent routes of transition to chaotic dynamics associated with diﬀerent bifurcations of periodic and quasi-periodic regimes. As a result of these, two types of chaotic dynamics with one and two positive Lyapunov exponents are observed. We argue that the results obtained ...
Added: December 2, 2019
, , , Solid State Communications 2012 Vol. 152 P. 1545-1550
We analyzed theoretically localized charge relaxation in a double quantum dot (QD) system coupled with continuous spectrum states in the presence of localized electrons Coulomb interaction in a single QD. We have found that for a wide range of system parameters charge relaxation occurs through two stable regimes with significantly different relaxation rates. A peculiar ...
Added: October 28, 2014
, , Journal of Complex Networks 2020 Vol. 8 No. 1 P. cnaa008
In this article, we show numerically the strong finite-size effects in exponential random graphs. Particularly, for the two-star model above the critical value of the chemical potential for triplets a ground state is a star-like graph with the finite set of hubs at network density p<0.5p<0.5 or as the single cluster at p>0.5p>0.5. We find that there exists ...
Added: August 28, 2020
, , , Космические исследования 2014 Т. 52 № 4 С. 307-312
The problem of planar oscillations of a pendulum with variable length suspended on the Moon’s surface is considered. It is assumed that the Earth and Moon (or, in the general case, a planet and its satellite, or an asteroid and a spacecraft) revolve around the common center of mass in unperturbed elliptical Keplerian orbits. We ...
Added: November 8, 2014
, , Russian Mathematical Surveys 2013 Vol. 68 No. 3 P. 435-502
Teichmüller theory is a ramified and rapidly developing area of mathematics which has multiple connections with other directions in the mathematical sciences and with their applications, first and foremost in mathematical physics. In this survey the main lines of development of this theory and its applications to string theory are presented in a historical context. Bibliography: 128 titles. ...
Added: April 9, 2015
Решение контактных задач теории упругости и теории температурных напряжений методом конечных элементов
, , М. : ВИНИТИ РАН, 1985
Added: November 30, 2020
, , , Journal of Geometry and Physics 2011 Vol. 61 P. 1203-1222
We present a summary of current knowledge about the AGT relations for conformal blocks with additional insertion of the simplest degenerate operator, and a special choice of the corresponding intermediate dimension, when the conformal blocks satisfy hypergeometric-type differential equations in position of the degenerate operator. A special attention is devoted to representation of conformal block ...
Added: February 28, 2013
Reply to Comment on ‘Nonlocal statistical field theory of dipolar particles in electrolyte solutions’
, Journal of Physics: Condensed Matter 2019 Vol. 31 P. 078002-078003
We reply to the comment on our paper by Budkov (2018 J. Phys.: Condens. Matter 30 344001). ...
Added: January 4, 2019
Тезисы докладов. Секция «Математика и механика» международной конференции студентов, аспирантов и молодых ученых «Ломоносов – 2009».
М. : Издательство математико-механического факультета МГУ, 2009
В настоящий сборник вошли аннотации докладов участников XVI международной конференции «Ломоносов» по секции «Математика и механика». ...
Added: February 4, 2013
, , Journal of High Energy Physics 2017 Vol. 125 P. 1-13
We continue to investigate the dual description of the Virasoro conformal blocks arising in the framework of the classical limit of the AdS3/CFT2 correspondence. To give such an interpretation in previous studies, certain restrictions were necessary. Our goal here is to consider a more general situation available through the worldline approximation to the dual AdS gravity. ...
Added: August 31, 2017
Пенза : ПГУ, 2015
В сборник трудов включены доклады юбилейного ХХ-го Международного симпозиума «Надежность и качество», проходившего с 25 по 31 мая 2015 г. в городе Пензе. Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и ...
Added: May 31, 2015
, , Electronic Communications in Probability 2018 Vol. 23 P. 1-14
In this paper, we prove a particle approximation, in the sense of the propagation of chaos, of a Lagrangian stochastic model submitted to specular boundary condition and satisfying the mean no-permeability condition. ...
Added: June 7, 2018
, Physical Review D - Particles, Fields, Gravitation and Cosmology 2013 Vol. 87 No. 4 P. 044049
Following Krotov and Polyakov [ Nucl. Phys. B849 410 (2011)], we show that in global de Sitter space its isometry is broken by the loop IR divergences for any invariant vacuum state of the massive scalars. We derive a kinetic equation in global de Sitter space that follows from the Dyson-Schwinger equation of the Schwinger-Keldysh ...
Added: February 27, 2013
, , , Journal of High Energy Physics 2012 Vol. 1210
The reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist is considered. We show that all gaugings of SUGRA can be obtained by dimensional reduction of the extended space. ...
Added: October 20, 2014
, Теоретическая и математическая физика 2019 Т. 201 № 1 С. 65-83
We study the process of a nucleon separating from an atomic nucleus from the mathematical standpoint using experimental values of the binding energy for the nucleus of the given substance. A nucleon becomes a boson at the instant of separating from a fermionic nucleus. We study the further transformations of boson and fermion states of separation in a ...
Added: November 1, 2019
, , , Нелинейная динамика 2017 Т. 13 № 3 С. 399-412
В статье, используя методы теории динамических систем Морса–Смейла, авторы рассматривают топологическую структуру для точечно-зарядной модели магнитного поля областей фотосферы. Для произвольного количества зарядов (безотносительно к их местоположению) и не предполагая потенциальности поля <span data-mathml="B⃗ (следовательно, не используя конкретных формул), авторы приводят оценки, связывающие количества зарядов определенного типа с количеством нуль-точек. Для граничных оценок описывается топологическая структура магнитного ...
Added: October 12, 2017
, , et al., Труды НГТУ им. Р.Е. Алексеева 2012 № 2(95) С. 48-65
Purpose: Numerical modeling of internal baroclinic disturbances of different shapes in a model lake with variable depth, analysis of velocity field of wave-induced current, especially in the near-bed layer. Approach: The study is carried out with the use of numerical full nonlinear nonhydrostatic model for stratified fluid. Findings: The full nonlinear numerical modeling of internal wave dynamics ...
Added: October 6, 2012
, Russian Journal of Mathematical Physics 2019 Vol. 26 No. 2 P. 168-173
The parameters of unstable short-living isotopes are studied from the mathematical point of view. The values of the chemical potential and activity parameters that determine the neutron halo arising when the neutron separates from the nucleus of an unstable isotope are calculated. The analogy between nuclear physics and economics is considered from the point of view of such parameters as ...
Added: August 25, 2019
, Journal of Physics: Conference Series 2017 Vol. 804 No. 012036 P. 1-8
We investigate the existence and the orthogonality of the generalized Jack symmetric functions which play an important role in the AGT relations. We show their orthogonality by deforming them to the generalized Macdonald symmetric functions. ...
Added: October 26, 2017
, , et al., Письма в Журнал экспериментальной и теоретической физики 2012 Т. 95 № 2 С. 98-103
Nonlinear wave dynamics is discussed using the extended modified Korteweg–de Vries equation that includes the combination of the third- and fifth- order terms and is valid for waves in a three-layer fluid with so-called symmetric stratification. The derived equation has solutions in the form of solitary waves of various polarities. At small amplitudes, they are ...
Added: August 24, 2012
Solitons in a Third-Order Nonlinear Schrödinger Equation with the Pseudo-Raman Scattering and Spatially Decreasing Second-Order Dispersion
, , et al., JETP Letters 2016 Vol. 103 No. 10 P. 653-657
Evolution of solitons is addressed in the framework of a third-order nonlinear Schrödinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is well known as a part of the temporal domain NLSE in optics. In this context, it is induced by the ...
Added: June 28, 2016
, , Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum states when N receivers are separately located. In this report, we propose optical designs that can perform sequential state discrimination of two coherent states. For this purpose, we consider not only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior probabilities. Since ...
Added: November 16, 2020
, , Polymer Science - Series C 2018 Vol. 60 No. Supplement 1 P. 148-159
Theoretical models of the conformational behavior of flexible polymer chains in mixed solvents enunciated in the world literature during the last decade are critically reviewed. Models describing different mechanisms of coil-to-globule transitions in a good solvent induced by cosolvent addition are highlighted. Special attention is given to the analysis of theoretical approaches to describing the ...
Added: November 30, 2018