Towards easier realization of time-delayed feedback control of odd-number orbits
نویسندگان
چکیده
منابع مشابه
Towards easier realization of time-delayed feedback control of odd-number orbits.
We develop generalized time-delayed feedback schemes for the stabilization of periodic orbits with an odd number of positive Floquet exponents, which are particularly well suited for experimental realization. We construct the parameter regimes of successful control and validate these by numerical simulations and numerical continuation methods. In particular, it is shown how periodic orbits can ...
متن کاملRefuting the odd-number limitation of time-delayed feedback control.
We refute an often invoked theorem which claims that a periodic orbit with an odd number of real Floquet multipliers greater than unity can never be stabilized by time-delayed feedback control in the form proposed by Pyragas. Using a generic normal form, we demonstrate that the unstable periodic orbit generated by a subcritical Hopf bifurcation, which has a single real unstable Floquet multipli...
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This chapter reviews the so-called odd number limitation in delayed feedback control (DFC) for chaotic systems. By the odd number limitation, the original DFC restricts the application to a special class of chaotic systems. So far, various methods have been developed to overcome the limitation. In this chapter, we show their key concepts to solve the problem.
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We demonstrate by electronic circuit experiments the feasibility of an unstable control loop to stabilize torsion-free orbits by time-delayed feedback control. Corresponding analytical normal form calculations and numerical simulations reveal a severe dependence of the basin of attraction on the particular coupling scheme of the control force. Such theoretical predictions are confirmed by the e...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.84.016214