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
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Received in final form: 13 June 2017
Published online: 2 October 2017
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 xq(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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2017