Period two implies chaos for a class of ODEs

@inproceedings{Obersnel2007PeriodTI,
  title={Period two implies chaos for a class of ODEs},
  author={Franco Obersnel and Pierpaolo Omari},
  year={2007}
}
We extend a result of J. Andres and K. Pastor concerning scalar time-periodic first order ordinary differential equations without uniqueness, by proving that the existence of just one subharmonic implies the existence of large sets of subharmonics of all given orders. Since these periodic solutions must coexist with complicated dynamics, we might paraphrase T. Y. Li and J. A. Yorke by loosely saying that in this setting even period two implies chaos. Similar results are obtained for a class of… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-7 OF 7 REFERENCES

Period two implies any period for a class of differential inclusions

  • F. Obersnel, P. Omari
  • Quaderni Matematici Ser. II Univ. Trieste 575, .
  • 2006
1 Excerpt

Coexistence of cycles of a continuous map of a line into itself (Russian)

  • A. N. Sharkovskii
  • Ukrainian Math. J. 16
  • 1599
1 Excerpt

Similar Papers

Loading similar papers…