ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
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 evolution to be controlled by nonlinear mechanisms is derived on the basis of this relationship. An approximate expression for the nonlinear velocity is also determined by extending the concept of Lyapunov exponent to growth rate of finite perturbations.
Cite
@article{arxiv.chao-dyn/9504016,
title = {ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS},
author = {A. Torcini and P. Grassberger and A. Politi},
journal= {arXiv preprint arXiv:chao-dyn/9504016},
year = {2009}
}
Comments
Tex file without figures- Figures and text in post-script available via anonymous ftp at ftp://wpts0.physik.uni-wuppertal.de/pub/torcini/jpa_let