Converting transient chaos into sustained chaos by feedback control

Ying Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


A boundary crisis is a catastrophic event in which a chaotic attractor is suddenly destroyed, leaving a nonattracting chaotic saddle in its place in the phase space. Based on the controlling-chaos idea [E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)], we present a method for stabilizing chaotic trajectories on the chaotic saddle by applying only small parameter perturbations. This strategy enables us to convert transient chaos into sustained chaos, thereby restoring attracting chaotic motion.

Original languageEnglish (US)
Pages (from-to)1094-1098
Number of pages5
JournalPhysical Review E
Issue number2
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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