Controlling chaos in high dimensions

Celso Grebogi, Ying Cheng Lai

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


We review the major ideas involved in the control of chaos by considering higher dimensional dynamics. We present the Ott-Grebogi-Yorke (OGY) method of controlling chaos to achieve time periodic motion by utilizing only small feedback control. The time periodic motion results from the stabilization of unstable periodic orbits embedded in the chaotic attractor. We demonstrate that the OGY method, also applicable to high dimensions, is a particular case of the pole placement technique, and we argue that it is the one leading to shortest time to achieve control. Implementation using only a measured time series in experimental situations is described.

Original languageEnglish (US)
Pages (from-to)971-975
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number10
StatePublished - 1997
Externally publishedYes


  • Chaos
  • Control
  • Pole-placement technique

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Controlling chaos in high dimensions'. Together they form a unique fingerprint.

Cite this