Using small perturbations to control chaos

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

doi:10.1038/363411a0

Using small perturbations to control chaos

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

Research output: Contribution to journal › Review article › peer-review

702 Scopus citations

Abstract

The extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to a desired state. Incorporating chaos deliberately into practical systems therefore offers the possibility of achieving greater flexibility in their performance.

Original language	American English
Pages (from-to)	411-417
Number of pages	7
Journal	Nature
Volume	363
Issue number	6428
DOIs	https://doi.org/10.1038/363411a0
State	Published - 1993
Externally published	Yes

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title = "Using small perturbations to control chaos",

abstract = "The extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to a desired state. Incorporating chaos deliberately into practical systems therefore offers the possibility of achieving greater flexibility in their performance.",

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

year = "1993",

doi = "10.1038/363411a0",

language = "American English",

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pages = "411--417",

journal = "Nature",

issn = "0028-0836",

publisher = "Nature Research",

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T1 - Using small perturbations to control chaos

AU - Shinbrot, Troy

AU - Grebogi, Celso

AU - Yorke, James A.

AU - Ott, Edward

PY - 1993

Y1 - 1993

N2 - The extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to a desired state. Incorporating chaos deliberately into practical systems therefore offers the possibility of achieving greater flexibility in their performance.

AB - The extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to a desired state. Incorporating chaos deliberately into practical systems therefore offers the possibility of achieving greater flexibility in their performance.

UR - https://www.scopus.com/pages/publications/0000601493

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U2 - 10.1038/363411a0

DO - 10.1038/363411a0

M3 - Review article

SN - 0028-0836

VL - 363

SP - 411

EP - 417

JO - Nature

JF - Nature

IS - 6428

ER -

Using small perturbations to control chaos

Abstract

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