Eur. Phys. J. B (2017) 90: 180
https://doi.org/10.1140/epjb/e2017-80255-8

Regular Article

A new representation for the nonlinear classical oscillator

Departamento de Física e Matemática, Centro Federal de Educação Tecnológica de Minas Gerais, 30510-000 Belo Horizonte, MG, Brazil

^a e-mail: lslima@des.cefetmg.br

Received: 2 May 2017
Received in final form: 13 June 2017
Published online: 2 October 2017

Abstract

We use the q-exponential function defined by Tsallis to make a new representation of the classical nonlinear oscillator in which the solution of the correspondent differential equation is mapped in another nonlinear differential equation with the coordinate x(t) deformed in a new coordinate x_q(t). The solution is given in the form of a sum of two complex q-exponential functions defined in the Tsallis theory. We obtain the correspondent nonlinear equation to this solution and derive some of its properties.