Using Chaos to Direct Orbits to Targets in Systems Describable by a One-Dimensional Map

T Shinbrot, E Ott, C Grebogi, J A Yorke

Research output: Contribution to journalArticle

81 Citations (Scopus)

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 languageEnglish
Pages (from-to)4165-4168
Number of pages4
JournalPhysical Review A
Volume45
Issue number6
DOIs
Publication statusPublished - 15 Mar 1992

Keywords

  • dynamics

Cite this

Using Chaos to Direct Orbits to Targets in Systems Describable by a One-Dimensional Map. / Shinbrot, T ; Ott, E ; Grebogi, C ; Yorke, J A .

In: Physical Review A, Vol. 45, No. 6, 15.03.1992, p. 4165-4168.

Research output: Contribution to journalArticle

Shinbrot, T ; Ott, E ; Grebogi, C ; Yorke, J A . / Using Chaos to Direct Orbits to Targets in Systems Describable by a One-Dimensional Map. In: Physical Review A. 1992 ; Vol. 45, No. 6. pp. 4165-4168.
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