{
  "abstract": "Amrita Pritam (1919-2005) was a prominent writer of modern Indian literature, particularly in Punjabi and Hindi. Her literary-biographical context provides a setting for exploring memory, longing, companionship, and emotional regulation through simple dynamical models. This study develops three single-state ordinary differential equation models centred on two important relational references in her life: Sahir Ludhianvi, associated with memory, absence, recollection, and longing, and Imroz, associated with companionship, care, continuity, and support. The first model describes Sahir-related longing through memory-driven excitation and natural emotional decay (fading); the second models Imroz-related companionship through nonlinear stabilisation around a preferred emotional state; and the third unifies both influences within a single-state framework. Analytical solutions, equilibrium conditions, local stability analysis, and numerical simulations are used to examine emotional-state decay and persistence, convergence to stable equilibria, and threshold effects on system behaviour. The results indicate that memory-related reinforcement may sustain the modelled emotional state under suitable stimulus conditions, whereas Imroz-related companionship may drive the system towards a stable upper equilibrium when initial conditions lie within the admissible range. The unified model illustrates how memory-driven longing and companionship-driven stabilisation associated with Sahir and Imroz can jointly shape a modelled emotional trajectory. This study is conceptual and mathematical, not empirical or psychological. It neither measures private emotions of Amrita Pritam nor estimates parameters from biographical data. Instead, it introduces a simple nonlinear framework for exploring memory, fading, companionship, equilibrium, and threshold effects in a literary-biographical context.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34161",
  "author_total": 2,
  "authors": [
    {
      "name": "Vinod Patidar"
    },
    {
      "name": "Tanu Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7wnvbks94cpk0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34161",
  "fulltext_url": null,
  "id": "7wnvbks94cpk0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34161",
  "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",
      "nlin.CD"
    ],
    [
      "arxiv",
      "physics.soc-ph"
    ],
    [
      "openalex",
      "3109|Complex Systems and Dynamics"
    ]
  ],
  "openalex": "W7223992812",
  "pdf_url": "https://arxiv.org/pdf/2610.34161",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7wnvbks94cpk0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34161",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34161"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Modelling Emotional Dynamics in the Life of Amrita Pritam: A Nonlinear Perspective on Longing and Companionship",
  "title_text": "Modelling Emotional Dynamics in the Life of Amrita Pritam: A Nonlinear Perspective on Longing and Companionship",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/7wnvbks94cpk0",
  "venue": "arXiv",
  "versions": []
}