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(Color online) The critical behavior of R does not depend on details of the nonlinearity or on the noise level. For any saturating odd nonlinear response function, R diverges linearly on the nonchaotic and quadratically on the chaotic side of the edge or transition. The solid line describes the asymptotic behavior; the dash-dotted line describes ϕ(x) = tanh(x) and σobs = 0.1; and the dashed line describes and σobs = 0.3.
