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… 
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