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Методическое пособие по математической физиологии. Внутренние законы возникновения колебаний тонуса вегетативной нервной системы человека в условиях длительной изоляции. Часть 2
Ч. 2.
M. :
Slovo, 2012.
Ivanov A. I., Орлов О., Демин А. В., Малый А. В.
Under the general editorship: А. М. Носовский
Методическое пособие по математической физиологии. Новый способ численной оценки энерготрат человека
Ivanov A. I., Демин А. В., Орлов О., М. : Слово, 2013
В пособии рассмотрены численные модели оценки энерготрат человека на примере обработки результатов измерений вегетативного индекса Кердо, полученных в ходе исследований, выполненных в ГНЦ РФ-ИМБП РАН.
Пособие предназначено для научных работников, физиологов и врачей, работающих в области авиакосмической, подводной, спортивной физиологии и медицины. ...
Added: April 4, 2013
M.V. Karasev, E.M. Novikova, Russian Journal of Mathematical Physics 2013 Vol. 20 No. 3 P. 283-294
The Penning trap Hamiltonian (hyperbolic oscillator in a homogeneous magnetic field) is considered in the basic three-frequency resonance regime. We describe its non-Lie algebra of symmetries. By perturbing the homogeneous magnetic field, we discover that, for special directions of the perturbation, a secondary hyperbolic resonance appears in the trap. For corresponding secondary resonance algebra, we ...
Added: November 17, 2013
М.В. Карасев, Е.М. Новикова, Теоретическая и математическая физика 2014 Т. 179 № 3 С. 406-425
The choice of physical parameters of the quantum Penning nanotrop with a perturbing in homogeneous magnetic Ioffe field is discussed, as well as the role of the resonance frequency modes. The general scheme for constructing the asymptotics of eigenstates by themethods of generalized geometric quantization is presented. The reproducing measure in theintegral representation of eigenfunctions ...
Added: March 8, 2014
Pereskokov A., Математические заметки 2012 Т. 92 № 4 С. 583-596
The eigenvalue problem for the perturbed resonant oscillator is considered. A method for constructing asymptotic solutions near the boundaries of spectral clusters using a new integral representation is proposed. The problem of calculating the averaged values of differential operators on solutions near the cluster boundaries is studied. ...
Added: November 26, 2012
Ivanov A. I., Орлов О., Демин А. В. et al., М. : Слово, 2012
В пособии рассмотрены количественные методы оценки вегетативных энерготрат с последующим энерговосстановлением членов экипажей и испытателей обитаемых гермообъектов в рамках программы «Марс-500». Пособие предназначено для научных работников, физиологов и врачей, работающих в области авиакосмической медицины и биологии. ...
Added: February 8, 2013
Krasnosel'skii Alexander M., Discrete and Continuous Dynamical Systems 2013 Vol. 33 No. 1 P. 239-254
We present an approach to study degenerate ODE with periodic nonlinearities; for resonant higher order nonlinear equations L(p)x=f(x)+b(t), p=d/dt, with 2pi-periodic forcing b and periodic f we give multiplicity results, in particular, conditions of existence of infinite and unbounded sets of 2pi-periodic solutions. ...
Added: February 11, 2013
M.V.Karasev, E.M.Novikova, Russian Journal of Mathematical Physics 2015 Vol. 22 No. 4 P. 463-468
We study dynamics of a charge in the planar Penning trap in which the direction of magnetic field does not coincide with the trap axis. Under some combined resonance condition on the deviation angle and magnitudes of magnetic and electric fields, the trajectories of a charge are near-periodic. We describe the reduction to a top-like ...
Added: October 22, 2015
Protasov V., Systems and Control Letters 2016 Vol. 90 P. 54-60
We prove the existence of positive linear switching systems (continuous time), whose trajectories grow to infinity, but slower than a given increasing function. This implies that, unlike the situation with linear ODE, the maximal growth of trajectories of linear systems may be arbitrarily slow. For systems generated by a finite set of matrices, this phenomenon ...
Added: February 22, 2016
Alexander M. Krasnosel’skii, Discrete and Continuous Dynamical Systems - Series S 2013 Vol. 6 No. 4 P. 999-1016
Autonomous higher order differential equations with scalar nonlinearities, periodic with respect to the main phase variable under appropriate generic conditions, have an infinite sequence of isolated cycles with amplitudes growing to infinity and periods converging to some specific value T. ...
Added: February 11, 2013
M.V. Karasev, E.M. Novikova, Theoretical and Mathematical Physics 2014 Vol. 179 No. 3 P. 729-746
We discuss the choice of physical parameters of a quantum Penning nanotrap under the action of a perturbing inhomogeneous Ioffe magnetic field and also the role of frequency resonance modes. We present a general scheme for constructing the asymptotic behavior of the eigenstates by the generalized geometric quantization method and obtain the reproducing measure in ...
Added: October 16, 2015
Ivanov A. I., Демин А. В., Орлов О., М. : Слово, 2013
В пособии описаны найденные авторами математические модели количественных связей характеристик кардиореспираторной системы человека: нагрузки – вегетативного индекса Кредо - потребления кислорода.
Использованы численные результаты измерений, полученных в ходе исследований, выполненных в ГНЦ РФ – ИМБП РАН в эксперименте «Гелий-11». Пособие предназначено для научных работников, физиологов, математических биологов и врачей, работающих в области авиакосмической, подводной, спортивной физиологии ...
Added: April 4, 2013
Samovol V. S., Математические заметки 2012 Т. 92 № 5 С. 731-746
In a neighborhood of a singular point, we consider autonomous systems of ordinary differential equations such that the matrix of the linearized system has two pure imaginary eigenvalues, all other eigenvalues lying outside the imaginary axis. The reducibility of such systems to pseudonormal form is studied. ...
Added: December 13, 2012
Ivanov A. I., Орлов О., Демин А. В., М. : Слово, 2012
В пособии представлены количественные методы выявления скрытых ритмов физиологических систем человека (находящегося в условиях длительной изоляции в замкнутом пространстве) и связей этих ритмов с ритмами внешней среды. Изложен способ применения стохастического метода нахождения стационарных и нестационарных интервалов физиологических процессов на примере анализа временных рядов вегетативного индекса Кердо у испытателей программы «Марс-500». Приведены примеры физиологических интерпретаций ...
Added: February 8, 2013
V.S. Samovol, Доклады Академии наук 2012 Vol. 85 No. 1 P. 122-124
In a neighborhood of a singular point, we consider autonomous systems of ordinary differential equations such that the matrix of their linear part has two purely imaginary eigenvalues, while the other eigenvalues lie outside the imaginary axis. We study the reducibility of such systems to pseudonormal form. We prove that the problem of finitely smooth ...
Added: November 27, 2012
О.В. Благодырева, М.В. Карасев, Е.М. Новикова, Наноструктуры. Математическая физика и моделирование 2013 Т. 9 № 1 С. 5-18
We discuss physical parameters of quantum Penning nanotraps. In the case of 3:(-1) resonance between transverse frequencies of the trap we describe the reproducing measure on symplectic leaves corresponding to irreducible representations of non-Lie symmetry algebra with qubic commutation relations. Nonhomogeneity of the magnetic field and anharmonicity of the electric potential of the trap, after ...
Added: November 20, 2013
Karasev M., Russian Journal of Mathematical Physics 2017 Vol. 24 No. 3 P. 326-335
The Schrödinger operator for a spinless charge inside a layer with parabolic confinement profile and homogeneous magnetic field is considered. The Lorentz (cyclotron) and the confinement frequencies are assumed to be equal to each other. After inclination of the layer normal from the magnetic field direction there appears a pseudospin su(2)-field removing the resonance degeneracy ...
Added: September 26, 2017
Колпаков И. Ю., Вестник Пермского национального исследовательского политехнического университета. Прикладная математика и механика 2013 № 11 С. 32-47
In work conditions of solvability of a boundary value problem for equation with a perturbed argument are received. For receiving conditions of solvability the boundary value problem write down on the corresponding space in the form of one quasilinear operator equation to which the theorem of existence of the solution with a condition on area ...
Added: April 7, 2015
Семенякин Н. С., Modern Physics Letters A 2014 Vol. 29 No. 35
In this paper, we investigate phase flows over ℂn and ℝn generated by vector fields V = ∑ Pi∂i where Pi are finite degree polynomials. With the convenient diagrammatic technique, we get expressions for evolution operators ev{V|t} : x(0) ↦ x(t) through the series in powers of x(0) and t, represented as sum over all ...
Added: April 4, 2018
Samovol V. S., Доклады Академии наук 2012 Vol. 85 No. 1 P. 122-124
In a neighborhood of a singular point, we consider autonomous systems of ordinary differential equations such that the matrix of their linear part has two purely imaginary eigenvalues, while the other eigenvalues lie outside the imaginary axis. We study the reducibility of such systems to pseudonormal form. We prove that the problem of finitely smooth ...
Added: November 27, 2012
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Min Namkung, Younghun K., 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