Chaos in Robert Hooke's inverted cone

@article{Argentina2007ChaosIR,
  title={Chaos in Robert Hooke's inverted cone},
  author={M. Argentina and P. Coullet and J. Gilli and M. Monticelli and G. Rousseaux},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2007},
  volume={463},
  pages={1259 - 1269}
}
Robert Hooke is perhaps one of the first scientists to have met chaotic motions. Indeed, to invert a cone and let a ball move in it was a mechanical model used by him to mimic the motion of a planet around a centre of force like the Sun. However, as the cone is inclined with respect to the gravity field, the perfect rosace followed by the particle becomes chaotic meanderings. We revisit this classical experiment designed by Hooke with the modern tools of dynamical systems and chaos theory. By a… Expand
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