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We present a method for detecting and quantifying relationships between two ore more time series. It is based on the estimation of conditional entropies. In the case of continuous systems an appropriate conditional probability is calculated. Our method can be used for deciding, if one observable Y depends on another one X. If Y can be expressed as a… (More)
Existing methods of time series analysis of nonlinear dynamical systems deal with the dynamics on single (strange) attractors. We extend this method for systems that can be externally manipulated. We interact with a previously unknown system by perturbing it randomly and recording the responses. By following transients for a short time and approximating the… (More)