Controlling chaos using a system of harmonic oscillators

Ali Azimi Olyaei and Christine Wu
Phys. Rev. E 91, 012920 – Published 23 January 2015

Abstract

An effective method of controlling chaos is proposed. The control mechanism of the proposed method can be interpreted as the synchronization of a chaotic system with a system of harmonic oscillators. It is a practically noninvasive method that does not change the solution of dynamical systems, but stabilizes their periodic behavior by applying only small perturbations. The proposed method has fairly simple structure that suggests a clear stabilizing mechanism, and allows a straightforward evaluation of stability properties. This control scheme can be implemented experimentally even if the dynamical system is not analytically known. The efficiency of the proposed method is demonstrated through numerical simulation as well as experimental implementation.

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  • Received 17 September 2014

DOI:https://doi.org/10.1103/PhysRevE.91.012920

©2015 American Physical Society

Authors & Affiliations

Ali Azimi Olyaei* and Christine Wu

  • Department of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, Manitoba, Canada R3T 5V6

  • *AzimiOla@myumanitoba.ca
  • Chiristin.wu@umanitoba.ca

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Vol. 91, Iss. 1 — January 2015

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