1.5k citations · 1.8k across the 10 of their papers we have counts for
10 papers
Local estimates for entropy densities in coupled map lattices
Eckehard Olbrich, Rainer Hegger, Holger Kantz
We present a method to derive an upper bound for the entropy density of coupled map lattices with local interactions from local observations. To do this, we use an embedding techni…
Reconstruction of systems with delayed feedback: (II) Application
M. J. Bünner, M. Ciofini, A. Giaquinta +4
We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimat…
General properties of propagation in chaotic systems
G. Giacomelli, R. Hegger, A. Politi +1
We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture…
Estimation of Lyapunov spectra from space-time data
Martin J. Bünner, R. Hegger
A method to estimate Lyapunov spectra from spatio-temporal data is presented, which is well-suited to be applied to experimental situations. It allows to characterize the high-dime…
Identifying and modelling delay feedback systems
Rainer Hegger, Martin J. Bünner, Holger Kantz +1
Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space re…
Practical implementation of nonlinear time series methods: The TISEAN package
Rainer Hegger, Holger Kantz, Thomas Schreiber
Nonlinear time series analysis is becoming a more and more reliable tool for the study of complicated dynamics from measurements. The concept of low-dimensional chaos has proven to…