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On rotating vectors, Jacobi elliptic functions and free vibration of the Duffing oscillator
(2020-11-01)
The free vibration displacement of an undamped hardening Duffing oscillator is described in exact form by a Jacobi elliptic function. Unlike an undamped linear oscillator, whose displacement is described by a trigonometric ...
Funções elípticas de Jacobi
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2015-06-08)
This paper reports the Jacobi elliptical functions. Such functions have applicability in physics and in advanced studies of math. In this paper, the elliptical functions are presented in a calculation perspective, pointing ...
Applications of the Lie symmetries to complete solution of a bead on a rotating wire hoop
(2018-02-01)
The existence of Lie symmetries in differential equations can generate transformations in the dependent and independent variables and obtain new equations that may be easier to integrate. In particular, in some situations, ...
POSITIVITY PROPERTIES OF THE FOURIER TRANSFORM AND THE STABILITY OF PERIODIC TRAVELLING-WAVE SOLUTIONS
(SIAM PUBLICATIONS, 2008)
In this paper we establish a method to obtain the stability of periodic travelling-wave solutions for equations of Korteweg-de Vries-type u(t) + u(p)u(x) - Mu(x) = 0, with M being a general pseudodifferential operator and ...
Teoria de funções elípticas e aplicações em soluções de sistemas periódicos em mecânica
(Universidade Estadual Paulista (Unesp), 2018-04-24)
É bem conhecido que em Mecânica Analítica muitos problemas integráveis não tem primitivas escritas em forma de funções elementares, tais como: corpo rígido assimétrico em rotação livre; pêndulo esférico, entre outros. O ...