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Stabilizing unstable periodic orbits of dynamical systems using delayed feedback control with periodic gain

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Abstract

Two algorithms of unstable periodic orbits stabilization based on delayed feedback control and periodic gain are discussed. The efficiency of these algorithms for stabilization of unstable periodic orbits of the Lorenz and Rossler systems and visualization of stabilized periodic orbits are demonstrated.

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Acknowledgements

This work was supported by the Russian Scientific Foundation project (14-21-00041, s.3), NSch (8580.2016.1, s.1), RFBR (15-51-45062, s.2) and the Saint-Petersburg State University.

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Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, Saint-Petersburg State University, Saint-Petersburg, Russia

    Gennady A. Leonov & Alexander V. Moskvin

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  1. Gennady A. Leonov
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  2. Alexander V. Moskvin
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Correspondence to Alexander V. Moskvin.

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Leonov, G.A., Moskvin, A.V. Stabilizing unstable periodic orbits of dynamical systems using delayed feedback control with periodic gain. Int. J. Dynam. Control 6, 601–608 (2018). https://doi.org/10.1007/s40435-017-0316-8

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  • DOI: https://doi.org/10.1007/s40435-017-0316-8

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