A new representation for the nonlinear classical oscillator
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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.
KeywordsStatistical and Nonlinear Physics
- 2.C. Tsallis, Introduction to nonextensive statistical mechanics (Springer, Santa Fé, New Mexico, 2009) Google Scholar
- 8.Z. Daróczy, Inf. Comput. 16, 36 (1970) Google Scholar
- 15.S.H. Strogatz, Nonlinear dynamics and chaos (Addison-Wesley, Reading, MA, 1994) Google Scholar