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Beyond the odd number limitation of time-delayed feedback control of periodic orbits

. We discuss the stabilization of odd-number orbits by time-delayed feedback control. In particular, we review the stabilization of odd-number orbits born in a subcritical Hopf bifurcation or a saddle-node bifurcation of periodic orbits. These examples refute the often invoked odd-number theorem.

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2010-12, Vol.191 (1), p.53-70
Main Authors: Fiedler, B., Flunkert, V., Hövel, P., Schöll, E.
Format: Article
Language:English
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Summary:. We discuss the stabilization of odd-number orbits by time-delayed feedback control. In particular, we review the stabilization of odd-number orbits born in a subcritical Hopf bifurcation or a saddle-node bifurcation of periodic orbits. These examples refute the often invoked odd-number theorem.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2010-01341-9