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Updated: Aug 19, 2026

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
Published on: May 25, 2019
Efficient noncausal noise reduction for deterministic time series
Jochen Brocker1, Ulrich Parlitz
1Drittes Physikalisches Institut, Universitat Gottingen, Burgerstrasse 42-44, D-37073 Gottingen, Germany.
Abstract:
We present a simple noncausal noise reduction algorithm for time series that consist of noisy measurements of the state vectors of a deterministic (chaotic) nonlinear system. The underlying dynamical system is assumed to be known and to operate in discrete time. The noise reduction algorithm is an iterative scheme for finding exact deterministic orbits close to the measured noisy orbits. Furthermore, we discuss cases where the solution is not the original orbit but homoclinic to it. (c) 2001 American Institute of Physics.
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