7 papers
Does mesoscopic disorder imply microscopic chaos?
Peter Grassberger, Thomas Schreiber
We argue that Gaspard and coworkers do not give evidence for microscopic chaos in the sense in which they use the term. The effectively infinite number of molecules in a fluid can…
Does macroscopic disorder imply microscopic chaos?
P. Grassberger, T. Schreiber
We argue that Gaspard and coworkers [Nature 394, 865 (1998)] do not give evidence for microscopic chaos in the sense in which they use the term. The effectively infinite number of…
Surrogate data for non-stationary signals
Andreas Schmitz, Thomas Schreiber
Standard tests for nonlinearity reject the null hypothesis of a Gaussian linear process whenever the data is non-stationary. Thus, they are not appropriate to distinguish nonlinear…
The human ECG - nonlinear deterministic versus stochastic aspects
Holger Kantz, Thomas Schreiber
We discuss aspects of randomness and of determinism in electrocardiographic signals. In particular, we take a critical look at attempts to apply methods of nonlinear time series an…
Nonlinear projective filtering I: Application to real time series
T. Schreiber, H. Kantz
We discuss applications of nonlinear filtering of time series by locally linear phase space projections. Noise can be reduced whenever the error due to the manifold approximation i…
Nonlinear projective filtering I: Background in chaos theory
H. Kantz, T. Schreiber
We derive a locally projective noise reduction scheme for nonlinear time series using concepts from deterministic dynamical systems, or chaos theory. We will demonstrate its effect…