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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…
A Robust Method for Detecting Interdependences: Application to Intracranially Recorded EEG
J. Arnhold, P. Grassberger, K. Lehnertz +1
We present a measure for characterizing statistical relationships between two time sequences. In contrast to commonly used measures like cross-correlations, coherence and mutual in…
Studies of Phase Turbulence in the One Dimensional Complex Ginzburg-Landau Equation
Alessandro Torcini, Helge Frauenkron, Peter Grassberger
The phase-turbulent (PT) regime for the one dimensional complex Ginzburg-Landau equation (CGLE) is carefully studied, in the limit of large systems and long integration times, usin…
Studying Attractor Symmetries by Means of Cross Correlation Sums
Peter Schneider, Peter Grassberger
We use the cross correlation sum introduced recently by H. Kantz to study symmetry properties of chaotic attractors. In particular, we apply it to a system of six coupled nonlinear…
Interaction of Nonlinear Schrödinger Solitons with an External Potential
Helge Frauenkron, Peter Grassberger
Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1- nonlinear Schrödinger equation numerically for solitons moving in external p…
ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS
A. Torcini, P. Grassberger, A. Politi
A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of fronts separating different phases. A condition for the…