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

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

Research output: Contribution to journalArticle

34 Citations (Scopus)

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 - 1995
Externally publishedYes

Fingerprint

Chaotic System
Periodic Orbits
High-dimensional
Unstable
orbits
Attractor
Stabilization
stabilization
Numerical Examples
Demonstrate

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

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

In: Physical Review E, Vol. 51, No. 5, 1995, p. 4169-4172.

Research output: Contribution to journalArticle

Barreto, Ernest ; Kostelich, Eric ; Grebogi, Celso ; Ott, Edward ; Yorke, James A. / Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems. In: Physical Review E. 1995 ; Vol. 51, No. 5. pp. 4169-4172.
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