{
  "abstract": "The thesis develops symbolic representations of dynamical systems in finite-dimensional commutative real algebras. The algebraic framework (orthogonal idempotents, zero divisors, and the structure of finite-order algebras) supports algebra-valued Fourier and Laplace transforms and Walsh-function-based system identification. The methods yield exact, coordinate-free vectorial solutions for motion in non-inertial reference frames, including a generalized Larmor theorem, the Foucault pendulum, motion in central positional-force fields, and the two-body problem in arbitrarily rotating reference frames. This English edition is an audited LaTeX reconstruction of the 1995 original, with an editorial note documenting provenance.",
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  "article_type": null,
  "arxiv": "2609.08028",
  "author_total": 1,
  "authors": [
    {
      "name": "Daniel Condurache"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/89gxjp2s0ej06.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08028",
  "fulltext_url": null,
  "id": "89gxjp2s0ej06",
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  "landing_url": "https://arxiv.org/abs/2609.08028",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "math-ph"
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      "2611|Mathematical and Computational Methods"
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  "openalex": "W7212029911",
  "pdf_url": "https://arxiv.org/pdf/2609.08028",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/89gxjp2s0ej06.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:49Z",
      "native_id": "2609.08028",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08028"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "New Symbolic Procedures in the Study of Dynamical Systems",
  "title_text": "New Symbolic Procedures in the Study of Dynamical Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/89gxjp2s0ej06",
  "venue": "arXiv",
  "versions": []
}