Delay Stabilization of Rotating Waves Without Odd Number Limitation
نویسندگان
چکیده
A variety of methods have been developed in nonlinear science to stabilize unstable periodic orbits (UPOs) and control chaos [1], following the seminal work by Ott, Grebogi and Yorke [2], who employed a tiny control force to stabilize UPOs embedded in a chaotic attractor [3, 4]. A particularly simple and efficient scheme is time-delayed feedback as suggested by Pyragas [5], which uses the difference z(t − τ)− z(t) of a signal z at a time t and a delayed time t − τ. It is an attempt to stabilize periodic orbits of (minimal) period T by a feedback control which involves a time delay τ = nT, for suitable positive integer n. A linear feedback example is
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