Robins, VanessaRooney, NiallBradley, Elizabeth2015-12-132015-12-131054-1500http://hdl.handle.net/1885/77658Traditional noise-filtering techniques are known to significantly alter features of chaotic data. In this paper, we present a noncausal topology-based filtering method for continuous-time dynamical systems that is effective in removing additive, uncorrelated noise from time-series data. Signal-to-noise ratios and Lyapunov exponent estimates are dramatically improved following the removal of the identified noisy points.Topology-based Signal Separation200410.1063/1.17058522015-12-11