engleski

Bursts in the chaotic trajectory lifetimes preceding controlled periodic motion

The average lifetime it takes for a randomly started trajectory to land in a small region H on a chaotic attractor is studied. This lifetime is an important issue for controlling chaos. We point out that if the region H is visited by a short periodic orbit, the lifetime strongly deviates from the inverse of the naturally invariant measure contained within that region. We introduce the formula that relates the lifetime to the expanding eigenvalue of the short periodic orbit visiting H.

chaotic transients ; chaotic trajectory ; average lifetime ; controlling chaos ; periodic motion

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