Results 1 to 10 of about 979 (82)
Mathematics, 2023 A certain class of nonlinear differential equations representing a generalized Van der Pol oscillator is proposed in which we study the behavior of the existing solution.
Safia Meftah +6 more
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Universal scattering with general dispersion relations
Physical Review Research, 2022 Many synthetic quantum systems allow particles to have dispersion relations that are neither linear nor quadratic functions. Here, we explore single-particle scattering in general spatial dimension D≥1 when the density of states diverges at a specific ...
Yidan Wang +4 more
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Scattering of fermionic isodoublets on the sine-Gordon kink
European Physical Journal C: Particles and Fields, 2022 The scattering of Dirac fermions on the sine-Gordon kink is studied both analytically and numerically. To achieve invariance with respect to a discrete symmetry, the sine-Gordon model is treated as a nonlinear $$\sigma $$ σ -model with a circular target ...
A. Yu. Loginov
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Parametric Resonance in a Time-Dependent Harmonic Oscillator
Моделирование и анализ информационных систем, 2013 In this paper, we study the phenomenon of appearance of new resonances in a timedependent harmonic oscillator under an oscillatory decreasing force. The studied equation belongs to the class of adiabatic oscillators and arises in connection with the ...
P. N. Nesterov
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Scattering in one dimension: The coupled Schroedinger equation, threshold behaviour and Levinson's theorem [PDF]
, 1996 We formulate scattering in one dimension due to the coupled Schr\"{o}dinger equation in terms of the $S$ matrix, the unitarity of which leads to constraints on the scattering amplitudes. Levinson's theorem is seen to have the form $\eta(0) = \pi (n_b + 1/
Kiers, K. A., van Dijk, W.
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Asymptotics for Solutions of Harmonic Oscillator with Integral Perturbation
Моделирование и анализ информационных систем, 2017 We construct the asymptotics for solutions of a harmonic oscillator with integral perturbation when the independent variable tends to infinity. The specific feature of the considered integral perturbation is an oscillatory decreasing character of its ...
Pavel N. Nesterov
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Моделирование и анализ информационных систем, 2016 We correct the computational mistakes in paper: Nesterov P. N. Center Manifold Method in the Asymptotic Integration Problem for Functional Differential Equations with Oscillatory Decreasing Coefficients. II. In: Modeling and Analysis of Information Systems.
P. N. Nesterov
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On Oscillations of Solutions of Third-Order Dynamic Equation
Abstract and Applied Analysis, 2012 We are proving the new oscillation theorems for the solutions of third-order linear nonautonomous differential equation with complex coefficients. In the case of real coefficients we derive the oscillation criterion that is invariant with respect to the ...
Gro Hovhannisyan
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Моделирование и анализ информационных систем, 2014 In this paper we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We construct the asymptotics for the solutions of the considered systems in a critical case.
P. N. Nesterov
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Levinson's theorem and scattering phase shift contributions to the partition function of interacting gases in two dimensions [PDF]
, 1998 We consider scattering state contributions to the partition function of a two-dimensional (2D) plasma in addition to the bound-state sum. A partition function continuity requirement is used to provide a statistical mechanical heuristic proof of Levinson ...
A. Gold +45 more
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