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Some practical regards on the application of the harmonic balance method for hysteresis models
(2020-09-01)
Describing hysteretic systems with a closed-form solution is a challenging task due to some pitfalls regarding the non-smooth and memory effect mechanisms that do not permit, for example, to apply conventional frequency ...
O oscilador harmônico singular revisitado
(Sociedade Brasileira de Física, 2013-09-01)
The one-dimensional Schrödinger equation with the singular harmonic oscillator is investigated. The Hermiticity of the operators related to observable physical quantities is used as a criterion to show that the attractive ...
Comment on: “Entanglement in three coupled oscillators” [Phys. Lett. A 384 (2020) 126134]
(Elsevier, 2020-09-07)
In this comment we analyze a method for the solution of the eigenvalue equation for three coupled harmonic oscillators proposed recently. We argue that the authors did not obtain the frequencies and coordinates of the ...
Possible divergences in Tsallis' thermostatistics
(IOP Publishing, 2014-01)
Lutsko and Boon have shown via elegant theoretical reasoning (EPL, 95 (2011) 20006), that Tsallis’ thermostatistics is affected by divergence problems. We explicitly verify such fact in trying to compute the nonextensive ...
Unexpected behavior of Caputo fractional derivative
(2017-09-01)
This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian ...
Uma abordagem teórica e experimental do oscilador harmônico em duas dimensões utilizando as curvas de Lissajous
(2014-01-01)
The study of oscillatory phenomena is an important topic in several areas of knowledge. The understanding and the solution of many problems that scientists and engineers confront nowadays can be formulated, at least as an ...