Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems

Ernest Barreto, Eric J. Kostelich, Celso Grebogi, Edward Ott, James A. Yorke

Research output: Contribution to journalArticle

35 Scopus citations

Abstract

We develop an efficient targeting techique and demonstrate that when used with an unstable periodic orbit stabilization method, fast and efficient switching between controlled periodic orbits is possible. This technique is particularly relevant to cases of higher attractor dimension. We present a numerical example and report an improvement of up to four orders of magnitude in the switching time over the case with no targeting.

Original languageEnglish (US)
Pages (from-to)4169-4172
Number of pages4
JournalPhysical Review E
Volume51
Issue number5
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

ASJC Scopus subject areas

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

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