Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions

Abstract

The classical nonlinear oscillator, proposed by Mathews and Lakshmanan in 1974 and including a position-dependent mass in the kinetic energy term, is generalized in two different ways by adding an extra term to the potential. The solutions of the Euler-Lagrange equation are shown to exhibit richer behaviour patterns than those of the original nonlinear oscillator.

16 pages, 4 figures, published version

References in corpus (1)

• A Quantum Quasi-Harmonic Nonlinear Oscillator with an Isotonic Term

Cited by in corpus (5)

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• An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates
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