{
  "abstract": "In this paper we extend the description of spatial topological chaos for bistable lattice equations in a small diffusion regime. We generalize the Keener's proof and show that stationary solutions are topologically conjugate to biinfinite sequences on a three-symbol alphabet. We provide a priori estimates for the values of stationary solutions and use them to show that there are exactly two monotone stationary fronts (up to a translation). Finally, we apply the localization of all stationary solutions to characterize their stability and get the existence of unique stable and unstable monotone fronts (up to a translation).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25868",
  "author_total": 3,
  "authors": [
    {
      "name": "Jakub Hesoun"
    },
    {
      "name": "Petr Stehlík"
    },
    {
      "name": "Jonáš Volek"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2p9eqfdfc1tbb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25868",
  "fulltext_url": null,
  "id": "2p9eqfdfc1tbb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25868",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7214070728",
  "pdf_url": "https://arxiv.org/pdf/2609.25868",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2p9eqfdfc1tbb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2609.25868",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25868"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Characterization of spatial topological chaos for bistable lattice equation",
  "title_text": "Characterization of spatial topological chaos for bistable lattice equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/2p9eqfdfc1tbb",
  "venue": "arXiv",
  "versions": []
}