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

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

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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

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