Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system

Troy Shinbrot; William Ditto; Celso Grebogi; Edward Ott; Mark Spano; James A.  Yorke

doi:10.1103/PhysRevLett.68.2863

Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system

Troy Shinbrot, William Ditto, Celso Grebogi, Edward Ott, Mark Spano, James A. Yorke

Physics

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

142 Citations (Scopus)

Abstract

In this paper we present the first experimental verification that the sensitivity of a chaotic system to small perturbations (the "butterfly effect") can be used to rapidly direct orbits from an arbitrary initial state to an arbitrary accessible desired state.

Original language	English
Pages (from-to)	2863-2866
Number of pages	4
Journal	Physical Review Letters
Volume	68
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.68.2863
Publication status	Published - 11 May 1992

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10.1103/PhysRevLett.68.2863

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

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AU - Shinbrot, Troy

AU - Ditto, William

AU - Grebogi, Celso

AU - Ott, Edward

AU - Spano, Mark

AU - Yorke, James A.

PY - 1992/5/11

Y1 - 1992/5/11

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DO - 10.1103/PhysRevLett.68.2863

M3 - Article

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VL - 68

SP - 2863

EP - 2866

JO - Physical Review Letters

JF - Physical Review Letters

IS - 19

ER -

Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system

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