Using small perturbations to control chaos

Troy Shinbrot, Celso Grebogi, James A. Yorke, Edward Ott

Research output: Contribution to journalArticle

690 Citations (Scopus)


The extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to a desired state. Incorporating chaos deliberately into practical systems therefore offers the possibility of achieving greater flexibility in their performance.

Original languageEnglish
Pages (from-to)411-417
Number of pages7
Issue number6428
Publication statusPublished - 3 Jun 1993


  • resonant stimulation
  • adaptive-control
  • periodic-orbits
  • systems
  • dynamics
  • attractors
  • trajectories
  • supression
  • entrainment

Cite this

Shinbrot, T., Grebogi, C., Yorke, J. A., & Ott, E. (1993). Using small perturbations to control chaos. Nature, 363(6428), 411-417.