Ivanov A. I., Орлов О., Демин А. В. et al., М. : Слово, 2012
В работе использован подход, заключающийся в применении результатов теории функций комплексного переменного для нахождения внутренних причин колебательных процессов тонуса вегетативной нервной системы (ВНС) человека. Установлены отдельные причины возникновения колебаний тонуса ВНС, численно характеризующегося индексов Кредо. Найдено объяснение возникновения отдельных сильно выделяющихся значений индекса Кредо как резонансных явлений. Пособие предназначено для научных работников, физиологов и врачей, ...
Added: February 8, 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
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
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
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
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
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
Делицын А. Л., Журнал вычислительной математики и математической физики 2016 Т. 56 № 12 С. 2086-2091
Рассматривается задача возбуждения волновода с анизотропным заполнением при критических значениях частоты. Приводится пример дисперсионной кривой с двумя, а не одной или тремя особыми точками. Исследуется возможность возбуждения обратных волн. Рассматривается характер роста поля при резонансном возбуждении волновода. ...
Added: December 20, 2018
Dyskin A. V., Pasternak E., Pelinovsky E., Journal of Sound and Vibration 2011 Vol. 331 P. 2856-2873
Bilinear oscillators – the oscillators whose springs have different stiffnesses in compression and tension – model a wide range of phenomena. A limiting case of bilinear oscillator with infinite stiffness in compression – the impact oscillator – is studied here. We investigate a special set of impact times – the eigenset, which corresponds to the ...
Added: May 18, 2012
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
Kildyushov O., Rezensionen zur internationalen Forschung zur russischen und deutschen Geschichte – Rezensionsreihe des DHI Moskau 2022 Т. 13
Рецензия на книгу: Reckwitz, Andreas; Rosa, Hartmut: Spätmoderne in der Krise. Was leistet die Gesellschaftstheorie? – Berlin: Suhrkamp, 2021. ...
Added: February 28, 2023
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
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
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