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

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

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We develop an efficient targeting technique 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
Pages (from-to)4169-4172
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume51
Issue number5
DOIs
Publication statusPublished - May 1995

Keywords

  • direct trajectories
  • targets
  • laser

Cite this

Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems. / Baretto, Ernest; Kostelich, Eric J.; Grebogi, Celso; Ott, Edward; Yorke, James A.

In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 51, No. 5, 05.1995, p. 4169-4172.

Research output: Contribution to journalArticle

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