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Title: Driven damped nth-power anharmonic oscillators with time-dependent coefficients and their integrals of motion
Authors: Macías Díaz, Jorge Eduardo
Urenda Cázares, Ernesto
Gallegos Infante, Armando
Keywords: driven damped oscillator
nth power anaharmonic model
time-dependent coefficients
Noether´s theory
integrals of motion
Issue Date: Jun-2021
Publisher: Elsevier
Citation: Macías Díaz J.E., Urenda Cázares E. y Gallegos A. (2021). Driven damped nth-power anharmonic oscillators with time-dependent coefficients and their integrals of motion. Results in Physics 25 (2021) 104169. ScienceDirect
Series/Report no.: Results in Physics;Volumen 25, junio de 2021, 104169
Abstract: In this manuscript, we derive integrals of motion for general anharmonic oscillators with damping and power-law forcing. The model under investigation has time-dependent coefficients, and the determination of these physical quantities is carried out using Noether´s theorem. The solutions must satisfy appropriate analytical conditions for the proposed quantities to be true integrals of motion. In turn, these analytical conditions are associated to well know physical systems, including the Milne-Pinney and Ermakov-Lewis models. We provide various numerical solutions of our equations of motion and the associated integrals to verify the theoretical results.
Description: Artículo
URI: http://repositorio.cualtos.udg.mx:8080/jspui/handle/123456789/1090
ISSN: 2211-3797
Appears in Collections:1203 Artículos

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