Nonlinear generalization of the isotonic oscillator via symmetrized potential yields an amplitude-dependent period expressible in terms of the hypergeometric function that reduces to 2π at α=1.
Sound and Vibrations 246(2) 375-378, (2001)
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On purely nonlinear oscillators generalizing an isotonic potential
Nonlinear generalization of the isotonic oscillator via symmetrized potential yields an amplitude-dependent period expressible in terms of the hypergeometric function that reduces to 2π at α=1.