A Crisis with a Special Scaling Behavior
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Abstract
A kind of crisis with special scaling properties has been observed in a discontinuous map. The crisis happens via a collision between a discontinuity of the mapping function and an unstable periodic orbit locating on the basin boundary of the chaotic attractor. The scaling property of the crisis is <τ>∝ ∈-1.8, where <τ> and ∈ stand for the average characteristic time and the control parameter value crossing the critical point, respectively.
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