{
  "abstract": "This paper develops a fully coupled forward-backward stochastic differential equation (FBSDE) framework for optimal orbit steering near a spiral attractor generated by an Arneodo-Coullet-Tresser-type chaotic oscillator. The central objective is not to suppress chaos by point stabilization, but to preserve the intrinsic orbital geometry of the attractor while reducing stochastic deviations from a prescribed reference orbit segment. To achieve this goal, a stochastic tracking problem is formulated for a noisy controlled ACT system, and the corresponding stochastic maximum principle yields a nonlinear fully coupled FBSDE in which the third backward component enters the active chaotic channel through the optimal feedback law. The resulting model establishes a direct link between spiral chaotic dynamics, stochastic optimal control, and adjoint backward propagation. A compact tensor formulation is provided, together with a variational derivation, a local solvability discussion under structured assumptions, and a decoupling-field interpretation. The framework offers a mathematically coherent and comparatively underexplored route for investigating stochastic orbit steering, random attractor neighborhoods, and control-energy allocation in a spiral chaotic environment.",
  "abstract_shown": true,
  "affiliations": [
    "Faculty of Civil Engineering, RWTH Aachen University, Mies-van-der-Rohe-Straße 1, Aachen, 52074, Germany"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Dong Feng",
      "orcid": "0009-0007-2895-9781"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cf2ame3arhfpe.bib",
  "cited_by": 6,
  "doi": "10.1016/j.cnsns.2026.110319",
  "fulltext_url": null,
  "id": "cf2ame3arhfpe",
  "issns": [
    "1007-5704",
    "1878-7274"
  ],
  "landing_url": "https://doi.org/10.1016/j.cnsns.2026.110319",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3109|Chaos control and synchronization"
    ]
  ],
  "openalex": "W7163892692",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-08",
  "publisher": "Elsevier BV",
  "ris": "https://research.draconitic.com/paper/cf2ame3arhfpe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:26:43Z",
      "native_id": "W7163892692",
      "source": "openalex",
      "url": "https://doi.org/10.1016/j.cnsns.2026.110319"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Chaos control and synchronization",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A fully coupled FBSDE framework for optimal orbit steering near an Arneodo-Coullet-Tresser spiral attractor",
  "title_text": "A fully coupled FBSDE framework for optimal orbit steering near an Arneodo-Coullet-Tresser spiral attractor",
  "type": "peer-reviewed",
  "updated_at": "2026-11-03T13:20:27Z",
  "url": "https://research.draconitic.com/paper/cf2ame3arhfpe",
  "venue": "Communications in Nonlinear Science and Numerical Simulation",
  "versions": []
}