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Empirical Rules for Oscillation and Harmonic Approximation of Fractional Kelvin–Voigt Oscillators
Applied SciencesFractional Kelvin–Voigt (FKV) oscillators describe vibrations in viscoelastic structures with memory effects, leading to dynamics that are often more complex than those of classical harmonic oscillators.
Paweł Łabędzki
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Exact diagonalization of the D-dimensional spatially confined quantum harmonic oscillator [PDF]
Kragujevac Journal of Science, 2016 In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues, such methods often involve indirect approaches such as searching for the ...
Kunle Adegoke +4 more
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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials [PDF]
, 2013 We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic ...
D. Gómez‐Ullate +2 more
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First harmonic injection locking of 24-GHz-oscillators [PDF]
Advances in Radio Science, 2003 An increasing number of applications is proposed for the 24 GHz ISM-band, like automotive radar systems and short-range communication links. These applications demand for oscillators providing moderate output power of a few mW and moderate frequency ...
M. R. Kühn, E. M. Biebl
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Alexandria Engineering Journal, 2018 In this paper, a new noble modified iterative method is proposed to obtain the approximate solution of strongly nonlinear oscillator systems having a rational and an irrational forces. The approximate frequency and the corresponding periodic solution can
Md. Abdur Razzak
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, 2003 Irreversibility is introduced to quantum graphs by coupling the graphs to a bath of harmonic oscillators. The interaction which is linear in the harmonic oscillator amplitudes is localized at the vertices.
Breit G +16 more
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Discrete time model of self-oscillations with spectral line widening
Физика волновых процессов и радиотехнические системы, 2022 An algorithm for generating quasi-harmonic self-oscillations with a uniformly widened spectral line is presented. The algorithm is based on the equation of motion of the Thomson-type DT-oscillator, which introduced a random effect in the form of band ...
Valery V. Zaitsev +2 more
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, 2007 Searching for a Lagrangian may seem either a trivial endeavour or an impossible task. In this paper we show that the Jacobi last multiplier associated with the Lie symmetries admitted by simple models of classical mechanics produces (too?) many ...
Leach, P. G. L., Nucci, M. C.
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Heat and work fluctuations for a harmonic oscillator. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2012 The formalism of Kundu et al. [J. Stat. Mech. P03007 (2011)], for computing the large deviations of heat flow in harmonic systems, is applied to the case of single Brownian particle in a harmonic trap and coupled to two heat baths at different ...
Sanjib Sabhapandit
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An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure
International Journal of Differential Equations, 2021 The cube-root truly nonlinear oscillator and the inverse cube-root truly nonlinear oscillator are the most meaningful and classical nonlinear ordinary differential equations on behalf of its various applications in science and engineering.
B. M. Ikramul Haque, M. M. Ayub Hossain
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