{
  "id": "cond-mat/0207208",
  "version": "v1",
  "published": "2002-07-08T15:21:10.000Z",
  "updated": "2002-07-08T15:21:10.000Z",
  "title": "Universal and non-universal properties of transitions to spatio-temporal chaos in coupled map lattices",
  "authors": [
    "René Mikkelsen",
    "Martin van Hecke",
    "Tomas Bohr"
  ],
  "comment": "15 pages, 17 Figs, submitted",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the transition from laminar to chaotic behavior in deterministic chaotic coupled map lattices and in an extension of the stochastic Domany--Kinzel cellular automaton [DK]. For the deterministic coupled map lattices we find evidence that ``solitons'' can change the {\\em nature} of the transition: for short soliton lifetimes it is of second order, while for longer but {\\em finite} lifetimes, it is more reminiscent of a first order transition. In the second order regime the deterministic model behaves like Directed Percolation with infinitely many absorbing states; we present evidence obtained from the study of bulk properties and the spreading of chaotic seeds in a laminar background. To study the influence of the solitons more specifically, we introduce a soliton including variant of the stochastic Domany--Kinzel cellular automaton. Similar to the deterministic model, we find a transition from second to first order behavior due to the solitons, both in a mean field analysis and in a numerical study of the statistical properties of this stochastic model. Our study illustrates that under the appropriate mapping some deterministic chaotic systems behave like stochastic models; but it is hard to know precisely which degrees of freedom need to be included in such description.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-08T15:21:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic domany-kinzel cellular automaton",
      "transition",
      "spatio-temporal chaos",
      "non-universal properties",
      "deterministic model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002cond.mat..7208M"
    }
  }
}