Automatic generation of strange attractors

@article{Sprott1993AutomaticGO,
  title={Automatic generation of strange attractors},
  author={Julien Clinton Sprott},
  journal={Computers & Graphics},
  year={1993},
  volume={17},
  pages={325-332}
}
Ahstract--A pair of coupled quadratic difference equations with randomly chosen coefficients is repeatedly iterated by computer to produce a two-dimensional map. The map is tested for stability and sensitivity to initial conditions. The process is repeated until a chaotic solution is found. In this way a computer can generate a large collection of strange attractors that are all different, and most of which have considerable aesthetic appeal. A simple computer program and examples of its output… CONTINUE READING
Highly Influential
This paper has highly influenced 10 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 71 citations. REVIEW CITATIONS
37 Citations
7 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 37 extracted citations

71 Citations

0510'94'99'05'11'17
Citations per Year
Semantic Scholar estimates that this publication has 71 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-7 of 7 references

The dimension of chaotic attractors

  • J. A. Yorke
  • 1988

Probing the strange attractors of chaos

  • A. K. Dewdney
  • Sci . Am .
  • 1987

Functional differential equations and the approximation of fixed points , Springer Lecture Notes in

  • J. Kaplan, J. A. Yorke
  • Mathematics
  • 1985

How common is chaos ?

  • J. C. Sprott
  • Phys . Lett . A
  • 1978

Similar Papers

Loading similar papers…