Riddling Bifurcation in Chaotic Dynamical Systems.

  title={Riddling Bifurcation in Chaotic Dynamical Systems.},
  author={Lai and Grebogi and Yorke and Venkataramani},
  journal={Physical review letters},
  volume={77 1},
When a chaotic attractor lies in an invariant subspace, as in systems with symmetry, riddling can occur. Riddling refers to the situation where the basin of a chaotic attractor is riddled with holes that belong to the basin of another attractor. We establish properties of the riddling bifurcation that occurs when an unstable periodic orbit embedded in the chaotic attractor, usually of low period, becomes transversely unstable. An immediate physical consequence of the riddling bifurcation is… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references


  • I. Kan
  • Am. Math. Soc.31, 68
  • 1994

Nature (London) 365

  • J. C. Sommerer, E. Ott
  • 136 (1993); E. Ott, J. C. Sommerer, J. C…
  • 1994
1 Excerpt


  • J. C. Alexander, J. A. Yorke, Z. You, I. Kan
  • J Bifurcation Chaos Appl. Sci. Eng. 2, 795
  • 1992
2 Excerpts


  • C. Grebogi, E. Ott, J. A. Yorke
  • Rev. Lett. 50, 935 (1983); Erg. Th. Dyna. Sys…
  • 1985

Physica (Amsterda 7D

  • C. Grebogi, E. Ott, J. A. Yorke
  • 181
  • 1983
1 Excerpt


  • M. Jacobson
  • Math. Phys. 81, 39
  • 1981
1 Excerpt

Similar Papers

Loading similar papers…