Using chaos to direct orbits to targets in systems describable by a one-dimensional map

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

doi:10.1103/PhysRevA.45.4165

Using chaos to direct orbits to targets in systems describable by a one-dimensional map

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

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

82 Scopus citations

Abstract

The sensitivity of chaotic systems to small perturbations can be used to rapidly direct orbits to a desired state (the target). We formulate a particularly simple procedure for doing this for cases in which the system is describable by an approximately one-dimensional map, and demonstrate that the procedure is effective even in the presence of noise.

Original language	English (US)
Pages (from-to)	4165-4168
Number of pages	4
Journal	Physical Review A
Volume	45
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.45.4165
State	Published - 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.45.4165

Cite this

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title = "Using chaos to direct orbits to targets in systems describable by a one-dimensional map",

abstract = "The sensitivity of chaotic systems to small perturbations can be used to rapidly direct orbits to a desired state (the target). We formulate a particularly simple procedure for doing this for cases in which the system is describable by an approximately one-dimensional map, and demonstrate that the procedure is effective even in the presence of noise.",

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

year = "1992",

doi = "10.1103/PhysRevA.45.4165",

language = "English (US)",

volume = "45",

pages = "4165--4168",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

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AU - Shinbrot, Troy

AU - Ott, Edward

AU - Grebogi, Celso

AU - Yorke, James A.

PY - 1992

Y1 - 1992

N2 - The sensitivity of chaotic systems to small perturbations can be used to rapidly direct orbits to a desired state (the target). We formulate a particularly simple procedure for doing this for cases in which the system is describable by an approximately one-dimensional map, and demonstrate that the procedure is effective even in the presence of noise.

AB - The sensitivity of chaotic systems to small perturbations can be used to rapidly direct orbits to a desired state (the target). We formulate a particularly simple procedure for doing this for cases in which the system is describable by an approximately one-dimensional map, and demonstrate that the procedure is effective even in the presence of noise.

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U2 - 10.1103/PhysRevA.45.4165

DO - 10.1103/PhysRevA.45.4165

M3 - Article

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SN - 1050-2947

VL - 45

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

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ER -

Using chaos to direct orbits to targets in systems describable by a one-dimensional map

Abstract

All Science Journal Classification (ASJC) codes

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