{
  "abstract": "We investigate increased-order generalized synchronization between four- and five-dimensional memristive Hindmarsh--Rose neurons, focusing on the selection and stabilization of the synchronization map. An analytical construction combines a prescribed nonlinear map with adaptive control, retaining the memristive switching contribution explicitly in the error dynamics. Lyapunov analysis establishes asymptotic synchronization under uniform strict dissipativity and yields a switching-independent decrease estimate outside an explicit error neighborhood. Numerical simulations exhibit error decay beyond the sufficient convergence conditions. A complementary data-driven construction uses next-generation reservoir computing to learn predictors from uncoupled full-state trajectories and an affine synchronization map through dynamical consistency. The resulting sampled-data controller achieves small residual tracking errors without access to the governing equations. Relative to a reference map within the data-driven framework, the learned map reduces median control effort approximately eightfold while improving tracking accuracy. These results connect synchronization-map selection with conditional convergence guarantees and reduced control requirements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25164",
  "author_total": 2,
  "authors": [
    {
      "name": "Dennis Mustafić"
    },
    {
      "name": "Marius E. Yamakou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c4xwzgvzaha50.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25164",
  "fulltext_url": null,
  "id": "c4xwzgvzaha50",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25164",
  "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"
    ],
    [
      "arxiv",
      "nlin.AO"
    ],
    [
      "openalex",
      "3109|Chaos control and synchronization"
    ]
  ],
  "openalex": "W7223034516",
  "pdf_url": "https://arxiv.org/pdf/2610.25164",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c4xwzgvzaha50.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25164",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25164"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.AO",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Increased-Order Generalized Synchronization in Memristive Neurons: Analytical and Data-Driven Approaches",
  "title_text": "Increased-Order Generalized Synchronization in Memristive Neurons: Analytical and Data-Driven Approaches",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/c4xwzgvzaha50",
  "venue": "arXiv",
  "versions": []
}