English

Characterization of spatiotemporal chaos in an inhomogeneous active medium

Statistical Mechanics 2009-11-10 v1 Other Condensed Matter

Abstract

We study a reaction diffusion system of the activator-inhibitor type with inhomogeneous reaction terms showing spatiotemporal chaos. We analyze the topological properties of the unstable periodic orbits in the slow chaotic dynamics appearing, which can be embedded in three dimensions. We perform a bi-orthogonal decomposition analyzing the minimum number of modes necessary to find the same organization of unstable orbits.

Keywords

Cite

@article{arxiv.cond-mat/0410574,
  title  = {Characterization of spatiotemporal chaos in an inhomogeneous active medium},
  author = {S. Bouzat and H. s Wio and G. B. Mindlin},
  journal= {arXiv preprint arXiv:cond-mat/0410574},
  year   = {2009}
}

Comments

13 pages, 6 figs. Physica D (in press)