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.
Cheillini integrability and quadratically damped oscillators
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abstract
In this paper a new approach to study an equation of the Lienard type with a strong quadratic damping is proposed based on Jacobi's last multiplier and Cheillini's integrability condition. We obtain a closed form solution of the transcendental characteristic equation of the Lienard type equation using the Lambert W-function.
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physics.class-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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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.