Controlling chaos in the Belousov - Zhabotinsky reaction

Valery Petrov, Vilmos Gáspár, Jonathan Masere, Kenneth Showalter

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332 Citations (Scopus)

Abstract

DETERMINISTIC chaos is characterized by long-term unpredictability arising from an extreme sensitivity to initial conditions. Such behaviour may be undesirable, particularly for processes dependent on temporal regulation. On the other hand, a chaotic system can be viewed as a virtually unlimited reservoir of periodic behaviour which may be accessed when appropriate feedback is applied to one of the system parameters1. Feedback algorithms have now been successfully applied to stabilize periodic oscillations in chaotic laser 2, diode3, hydrodynamic4 and magnetoelastic5 systems, and more recently in myocardial tissue 6. Here we apply a map-based, proportional-feedback algorithm 7,8 to stabilize periodic behaviour in the chaotic regime of an oscillatory chemical system: the Belousov-Zhabotinsky reaction.

Original languageEnglish
Pages (from-to)240-243
Number of pages4
JournalNature
Volume361
Issue number6409
DOIs
Publication statusPublished - Jan 1 1993

ASJC Scopus subject areas

  • General

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    Petrov, V., Gáspár, V., Masere, J., & Showalter, K. (1993). Controlling chaos in the Belousov - Zhabotinsky reaction. Nature, 361(6409), 240-243. https://doi.org/10.1038/361240a0