{
  "abstract": "Characterizing deterministic chaos in driven dissipative systems presents a fundamental challenge: geometric methods detect topological horseshoes ($h_T > 0$) without certifying physical measures, while macroscopic observables reduce multi-scale dynamics into low-dimensional indicators. We demonstrate that phase-space contraction structurally decouples the informational channel, governed by topological complexity and Kolmogorov-Sinai entropy ($h_{KS}$), from the energetic channel governing macroscopic dissipation, power balance, and transport. We establish a three-tier hierarchical architecture bridging: (I) microscopic topology (invariant manifold tangles), (II) ergodic physical measures (metric entropy and Lyapunov spectra), and (III) macroscopic ensemble statistics (variance and transport flux). In the forced two-well Duffing oscillator, high-resolution numerical analyses reveal the origin of classical predictive failures: dense homoclinic tangles degenerate into non-retaining transient saddles ($h_T > 0, h_{KS} = 0$) collapsing to periodic sinks, whereas macroscopic chaos persists past primary homoclinic tangency via higher-order saddle relays. Generalizing to periodic-potential rotational systems shows that heteroclinic crossings and resonant Shapiro steps enforce geometric bounds on phase slips and transport. Structurally disentangling informational capacity from energetic realization connects geometric mechanics with non-equilibrium statistical observability, offering a new diagnostic framework for noise-induced instabilities in nonlinear systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.19620",
  "author_total": 1,
  "authors": [
    {
      "name": "Takashi Hikihara"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8s03sgxsxdx7r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.19620",
  "fulltext_url": null,
  "id": "8s03sgxsxdx7r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.19620",
  "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",
      "nlin.CD"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7203881074",
  "pdf_url": "https://arxiv.org/pdf/2608.19620",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8s03sgxsxdx7r.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:24Z",
      "native_id": "2608.19620",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.19620"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Hierarchical Decoupling of Informational and Energetic Channels in Dissipative Chaos: From Microscopic Tangles to Macroscopic Transport",
  "title_text": "Hierarchical Decoupling of Informational and Energetic Channels in Dissipative Chaos: From Microscopic Tangles to Macroscopic Transport",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/8s03sgxsxdx7r",
  "venue": "arXiv",
  "versions": []
}