A new representation for the nonlinear classical oscillator

Leonardo S. Lima ()
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Leonardo S. Lima: Departamento de Física e Matemática, Centro Federal de Educação Tecnológica de Minas Gerais

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 10, 1-4

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80255-8

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