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

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

doi:10.1103/PhysRevE.51.4169

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 journal › Article › peer-review

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 language	English (US)
Pages (from-to)	4169-4172
Number of pages	4
Journal	Physical Review E
Volume	51
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.51.4169
State	Published - 1995
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.51.4169

Cite this

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title = "Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems",

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.",

author = "Ernest Barreto and Kostelich, {Eric J.} and Celso Grebogi and Edward Ott and Yorke, {James A.}",

year = "1995",

doi = "10.1103/PhysRevE.51.4169",

language = "English (US)",

volume = "51",

pages = "4169--4172",

journal = "Physical Review E",

issn = "1063-651X",

publisher = "American Physical Society",

number = "5",

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T1 - Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems

AU - Barreto, Ernest

AU - Kostelich, Eric J.

AU - Grebogi, Celso

AU - Ott, Edward

AU - Yorke, James A.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevE.51.4169

DO - 10.1103/PhysRevE.51.4169

M3 - Article

AN - SCOPUS:0000382542

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SP - 4169

EP - 4172

JO - Physical Review E

JF - Physical Review E

IS - 5

ER -

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

Abstract

ASJC Scopus subject areas

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