{
  "abstract": "We introduce high-order Winfree models for oscillatory associative memory. We characterize memory performance through the local-stability dichotomy between stored and unstored patterns. Using this criterion, we show that crosstalk noise drives a cascade of ferromagnetic, mixed, and spin-glass transitions as the memory load increases. For both polynomial and exponential Winfree models, we derive the phase boundaries and develop auxiliary-field modulation schemes adapted to the different phases. We further present corresponding circuit designs and numerical simulations that support our theoretical predictions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14389",
  "author_total": 2,
  "authors": [
    {
      "name": "Shurui Liu"
    },
    {
      "name": "Zhuchun Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ba7wke04kgryg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14389",
  "fulltext_url": null,
  "id": "ba7wke04kgryg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14389",
  "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",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7213243827",
  "pdf_url": "https://arxiv.org/pdf/2609.14389",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ba7wke04kgryg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.14389",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14389"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Phase Transitions and Modulation in Dense Oscillatory Associative Memories",
  "title_text": "Phase Transitions and Modulation in Dense Oscillatory Associative Memories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/ba7wke04kgryg",
  "venue": "arXiv",
  "versions": []
}