# On a generalization of Lissajous curves and its applications

@article{Kraso2016OnAG, title={On a generalization of Lissajous curves and its applications}, author={Piotr Krasoń and Jan Milewski and Wojciech Bondarewicz and Aleksandra Wojtaszek}, journal={Banach Center Publications}, year={2016}, volume={109}, pages={83-98} }

In the paper we consider a generalization of classical Lissajous curves to the situation where corresponding differential forms involve square roots of quartics. We give a new interesting parametrization of these curves and fully analyze their behaviour in terms of roots of the quartics. We indicate natural applications of our method to the analysis of a Duffing oscillator where the Higgs potential is described by a quartic. We also describe an application to the study of movement of a test…

## One Citation

Two Masses in Relative Hooke’s Potential and Elliptic Integrals

- Physics, MathematicsJournal of Nonlinear Mathematical Physics
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We consider the relative motion of the system of two masses connected by a spring. We analyze it in a range of the Hooke’s law and show that the equations of the relative motion of the system are…

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