{
  "abstract": "Various types of electrohydrodynamic instabilities in liquid crystals (LCs) are a recurring theme in LC research. The nonlinear stage of the flexoelectric instability in nematics remains the least studied aspect of this phenomenon. This work highlights a key advancement in nonlinear physics, providing a compelling example of nonlinear dynamical system behavior. By solving the system of nonlinear equations for a nematic in an alternating external field, we derive from first principles the unique \"dancing\" behavior of truly two-dimensional patterns above the flexoelectric instability threshold. Our analysis is restricted to liquid crystals with negative dielectric permittivity and electrical conductivity anisotropies. The resulting solution represents a stable limit cycle near above the Hopf bifurcation, valid within the parameters range where the solutions characteristic exponent is complex. The generalized two-dimensional Ginzburg-Landau-like phenomenological theory of the phenomenon is developed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31849",
  "author_total": 1,
  "authors": [
    {
      "name": "E. S. Pikina"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/40d5mbza0pp7f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31849",
  "fulltext_url": null,
  "id": "40d5mbza0pp7f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31849",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.31849",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/40d5mbza0pp7f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.31849",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31849"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "'Dancing' two-dimensional patterns in nematics above the flexoelectric instability threshold",
  "title_text": "'Dancing' two-dimensional patterns in nematics above the flexoelectric instability threshold",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/40d5mbza0pp7f",
  "venue": "arXiv",
  "versions": []
}