An Open-System Approach for the Characterization of Spatio-Temporal Chaos View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-01

AUTHORS

P. Cipriani, A. Politi

ABSTRACT

We investigate the structure of the invariant measure of space-time chaos by adopting an “open-system” point of view. We consider large but finite windows of formally infinite one-dimensional lattices and quantify the effect of the interaction with the outer region by mapping the problem on the dynamical characterization of localized perturbations. This latter task is performed by suitably generalizing the concept of Lyapunov spectrum to cope with perturbations that propagate outside the region under investigation. As a result, we are able to introduce a “volume”-propagation velocity, i.e., the velocity with which ensembles of localized perturbations tend to fill volumes in the neighbouring regions. More... »

PAGES

205-228

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:joss.0000003110.15959.d3

DOI

http://dx.doi.org/10.1023/b:joss.0000003110.15959.d3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048056535


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