Sample reconstructed attractors for data andsurrogates of the Hénon map. Panel (a) is an embedded time series data from the x-component of the Hénon system with the addition of 1% dynamic noise. The remaining panels are representative ATS time series. Each surrogate is computed with a different level of transition probability P. In panel (b) p = 0.2; in panel (c) p = 0.4; in panel (d) p = 0.6; and, in panels (e) p = 0.8. In each case the attractors reconstructed from the surrogates have the same qualitative features as that of the data.