Resonant control of the Rössler system

Valery Tereshko and Elena Shchekinova
Phys. Rev. E 58, 423 – Published 1 July 1998
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Abstract

We develop a method of control, “resonant control,” when a weak resonant perturbation is tuned so as to drive the system into naturally occurring regimes, namely, periodic orbits, which happen to be unstable for some nominal parameter value. The results show that nonfeedback control by periodic perturbations can be goal oriented, and a final state can be predictably targeted. The method allows us to alter nonchaotic as well as chaotic dynamics using only small perturbations.

  • Received 3 December 1997

DOI:https://doi.org/10.1103/PhysRevE.58.423

©1998 American Physical Society

Authors & Affiliations

Valery Tereshko1,* and Elena Shchekinova2,†

  • 1Communications Research Laboratory, McMaster University, 1280 Main Street West, Hamilton, Ontario Canada L8S 4K1 and The Nonlinear Centre, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom
  • 2Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332

  • *Author to whom correspondence should be addressed. Present address: The Nonlinear Centre, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, U.K. Electronic address: V.Tereshko@damtp.cam.ac.uk
  • Electronic address: elenash@math.gatech.edu

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Vol. 58, Iss. 1 — July 1998

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