Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion
Paar, V. · Buljan, H.
Original · EN
The average lifetime (τ(H)) it takes for a randomly started trajectory to land in a small region (H) on a chaotic attractor is studied. τ(H) is an important issue for controlling chaos. We point out that if the region H is visited by a short periodic orbit, the lifetime τ(H) strongly deviates from the inverse of the naturally invariant measure contained within that region (μₙ(H)⁻¹). We introduce the formula that relates τ(H)/μₙ(H)⁻¹ to the expanding eigenvalue of the short periodic orbit visiting H.
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