Chaos and quasi-periodicity in diffeomorphisms of the solid torus

@inproceedings{Broer2005ChaosAQ,
  title={Chaos and quasi-periodicity in diffeomorphisms of the solid torus},
  author={Henk W. Broer and C. Sim{\'o} and Renato Vitolo},
  year={2005}
}
The Hénon family of planar maps is considered driven by the Arnold family of circle maps. This leads to a five-parameter family of skew product systems on the solid torus. In this paper the dynamics of this skew product family and its perturbations are studied. It is shown that, in certain parameter domains, Hénon-like strange attractors occur. The existence of quasi-periodic Hénon-like attractors is partially discussed, and further supported by numerical evidence. 

From This Paper

Topics from this paper.
6 Citations
47 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 47 references

Strange attractors in saddle cycles: prevalence and globality

  • L. Dı́az, J. Rocha, M. Viana
  • Inv. Math
  • 1996
Highly Influential
8 Excerpts

Strange attractors in higher dimensions, Bol

  • M. Viana
  • Soc. Bras. Mat
  • 1993
Highly Influential
13 Excerpts

L

  • M. Benedicks
  • Carleson: The dynamics of the Hénon map, Ann. of…
  • 1991
Highly Influential
9 Excerpts

Small denominators, I: Mappings of the circumference into itself

  • V. I. Arnold
  • AMS Transl. (Ser. 2)
  • 1965
Highly Influential
10 Excerpts

Young: Strange Attractors with One Direction of Instability

  • Q. Wang, L.-S
  • Comm. Math. Phys
  • 2001
Highly Influential
4 Excerpts

D

  • S. V. Gonchenko, I. I. Ovsyannikov, C. Simó
  • Turaev: Three-dimensional Hénon maps and wild…
  • 2005
1 Excerpt

Three - dimensional Hénon maps and wild Lorenz – type strange attractors

  • C. Grebogi, E. Ott, J. Yorke S. Pelikan
  • 2005

Similar Papers

Loading similar papers…