112 citations · 1.1k across the 124 of their papers we have counts for
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Comparison of alternative improved perturbative methods for nonlinear oscillations
Paolo Amore, Francisco Fernandez, Alfredo Raya
We discuss and compare two alternative perturbation approaches for the calculation of the period of nonlinear systems based on the Lindstedt--Poincaré technique. As illustrative ex…
Alternative perturbation approaches in classical mechanics
Paolo Amore, Alfredo Raya, Francisco M. Fernandez
We discuss two alternative methods, based on the Lindstedt--Poincaré technique, for the removal of secular terms from the equations of perturbation theory. We calculate the period…
A method for classical and quantum mechanics
Paolo Amore
In many physical problems it is not possible to find an exact solution. However, when some parameter in the problem is small, one can obtain an approximate solution by expanding in…
Exact and approximate expressions for the period of anharmonic oscillators
Paolo Amore, Francisco M. Fernandez
In this paper we present a straightforward systematic method for the exact and approximate calculation of integrals that appear in formulas for the period of anharmonic oscillators…
Convergence acceleration of series through a variational approach
Paolo Amore
By means of a variational approach we find new series representations both for well known mathematical constants, such as and the Catalan constant, and for mathematical functio…
Systematic perturbation calculation of integrals with applications to physics
Paolo Amore, Alfredo Aranda, Francisco M. Fernandez +1
In this paper we generalize and improve a method for calculating the period of a classical oscillator and other integrals of physical interest, which was recently developed by some…
The period of a classical oscillator
Paolo Amore, Ricardo A. Saenz
We develop a simple method to obtain approximate analytical expressions for the period of a particle moving in a given potential. The method is inspired to the Linear Delta Expansi…