Converting transient chaos into sustained chaos by feedback control

Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


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
Pages (from-to)1094-1098
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number2
Publication statusPublished - Feb 1994


  • attractors
  • systems


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