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• W3100969861 abstract "In this paper we study the stabilization of rotating waves using time delayed feedback control. It is our aim to put some recent results in a broader context by discussing two different methods to determine the stability of the target periodic orbit in the controlled system: 1) by directly studying the Floquet multipliers and 2) by use of the Hopf bifurcation theorem. We also propose an extension of the Pyragas control scheme for which the controlled system becomes a functional differential equation of neutral type. Using the observation that we are able to determine the direction of bifurcation by a relatively simple calculation of the root tendency, we find stability conditions for the periodic orbit as a solution of the neutral type equation." @default.
• W3100969861 created "2020-11-23" @default.
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• W3100969861 date "2017-01-01" @default.
• W3100969861 modified "2023-09-27" @default.
• W3100969861 title "Control by time delayed feedback near a Hopf bifurcation point" @default.
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• W3100969861 doi "https://doi.org/10.14232/ejqtde.2017.1.91" @default.
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