Mathematical Physics

    

Analysis of a Purely Nonlinear Generalized Isotonic Oscillator Equation

Authors: M. D. Monsia

We perform in this paper a mathematical analysis of a supposed purely nonlinear isotonic oscillator designed to be a generalization of the Ermakov-Pinney differential equation. We calculate its exact and general solution. This allows the determination of new periodic solutions to the Ermakov-Pinney equation as well as non-periodic solutions as complex-valued function. In this context all motions corresponding to this nonlinear isotonic oscillator are not periodic so it is not consistent to consider such differential equations with real coefficients as conservative oscillators which can only have real and periodic solutions like the harmonic oscillator equation.

Comments: 11 Pages.

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Submission history

[v1] 2020-10-23 19:50:49

Unique-IP document downloads: 170 times

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