Cheillini integrability and quadratically damped oscillators
arXiv:1608.07377 · doi:10.1016/j.ijnonlinmec.2017.04.004
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.
References in corpus (4)
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Cited by in corpus (6)
- On purely nonlinear oscillators generalizing an isotonic potential
- Where the Liénard--Levinson--Smith (LLS) theorem cannot be applied for a generalised Liénard system
- Extension of Algebraic Solutions Using The Lambert W Function
- Quadratically damped oscillators with non-linear restoring force
- Geometric numerical methods for Lie systems and their application in optimal control
- Forced Coupled Duffing Oscillators with Nonlinear Damping: Resonance and Antiresonance