Using chaos to target stationary states of flows

Troy Shinbrot; Celso Grebogi; Edward Ott; James A. Yorke

doi:10.1016/0375-9601(92)90239-I

Using chaos to target stationary states of flows

Troy Shinbrot
, Celso Grebogi
, Edward Ott
, James A. Yorke

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

The sensitivity of chaotic systems to small perturbations is used to direct trajectories to a small neighborhood of stationary states of three-dimensional chaotic flows. For example, in one of the cases studied, a neighborhood which would typically take 10¹⁰ time units to reach without control can be reached using our technique in only about 10 of the same time units.

Original language	English (US)
Pages (from-to)	349-354
Number of pages	6
Journal	Physics Letters A
Volume	169
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(92)90239-I
State	Published - Oct 5 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(92)90239-I

Cite this

@article{73a2789520504319af214b9c84f91ba1,

title = "Using chaos to target stationary states of flows",

abstract = "The sensitivity of chaotic systems to small perturbations is used to direct trajectories to a small neighborhood of stationary states of three-dimensional chaotic flows. For example, in one of the cases studied, a neighborhood which would typically take 1010 time units to reach without control can be reached using our technique in only about 10 of the same time units.",

author = "Troy Shinbrot and Celso Grebogi and Edward Ott and Yorke, \{James A.\}",

note = "Funding Information: This research was supported by the U.S. Department of Energy (Scientific Computing Staff Office of Energy Research).",

year = "1992",

month = oct,

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doi = "10.1016/0375-9601(92)90239-I",

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journal = "Physics Letters A",

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publisher = "Elsevier B.V.",

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T1 - Using chaos to target stationary states of flows

AU - Shinbrot, Troy

AU - Grebogi, Celso

AU - Ott, Edward

AU - Yorke, James A.

N1 - Funding Information: This research was supported by the U.S. Department of Energy (Scientific Computing Staff Office of Energy Research).

PY - 1992/10/5

Y1 - 1992/10/5

N2 - The sensitivity of chaotic systems to small perturbations is used to direct trajectories to a small neighborhood of stationary states of three-dimensional chaotic flows. For example, in one of the cases studied, a neighborhood which would typically take 1010 time units to reach without control can be reached using our technique in only about 10 of the same time units.

AB - The sensitivity of chaotic systems to small perturbations is used to direct trajectories to a small neighborhood of stationary states of three-dimensional chaotic flows. For example, in one of the cases studied, a neighborhood which would typically take 1010 time units to reach without control can be reached using our technique in only about 10 of the same time units.

UR - https://www.scopus.com/pages/publications/0001517807

UR - https://www.scopus.com/pages/publications/0001517807#tab=citedBy

U2 - 10.1016/0375-9601(92)90239-I

DO - 10.1016/0375-9601(92)90239-I

M3 - Article

AN - SCOPUS:0001517807

SN - 0375-9601

VL - 169

SP - 349

EP - 354

JO - Physics Letters A

JF - Physics Letters A

IS - 5

ER -

Using chaos to target stationary states of flows

Abstract

All Science Journal Classification (ASJC) codes

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