{
  "annotation_id": "47b49c6e-e76b-409b-81b6-b11c001796db",
  "date_created": "2026-03-02T18:01:06.605000Z",
  "date_modified": "2026-03-02T18:01:06.605000Z",
  "file_hash": "0c3ab75c400e310d6ac0d7b9226e2ec846e4960a6e523c7fb12aceb7a358356a",
  "private": false,
  "record": {
    "abstract": "In this chapter we present a new approach to the study of manifestations of\nchaos in real complex system. Recently we have achieved the following result.\nIn real complex systems the informational measure of chaotic chatacter (IMC)\ncan serve as a reliable quantitative estimation of the state of a complex\nsystem and help to estimate the deviation of this state from its normal\ncondition. As the IMC we suggest the statistical spectrum of the non-Markovity\nparameter (NMP) and its frequency behavior. Our preliminary studies of real\ncomplex systems in cardiology, neurophysiology and seismology have shown that\nthe NMP has diverse frequency dependence. It testifies to the competition\nbetween Markovian and non-Markovian, random and regular processes and makes a\ncrossover from one relaxation scenario to the other possible. On this basis we\ncan formulate the new concept in the study of the manifestation of chaoticity.\nWe suggest the statistical theory of discrete non-Markov stochastic processes\nto calculate the NMP and the quantitative evaluation of the IMC in real complex\nsystems. With the help of the IMC we have found out the evident manifestation\nof chaosity in a normal (healthy) state of the studied system, its sharp\nreduction in the period of crises, catastrophes and various human diseases. It\nmeans that one can appreciably improve the state of a patient (of any system)\nby increasing the IMC of the studied live system. The given observation creates\na reliable basis for predicting crises and catastrophes, as well as for\ndiagnosing and treating various human diseases, Parkinson\u0027s disease in\nparticular.",
    "arxiv_id": "physics/0603032",
    "authors": [
      "Renat M. Yulmetyev",
      "Sergey A. Demin",
      "Peter H\u00e4nggi"
    ],
    "categories": [
      "physics.med-ph",
      "physics.data-an"
    ],
    "doi": "10.1007/3-540-32023-7_11",
    "title": "Manifestation of Chaos in Real Complex Systems: Case of Parkinson\u0027s   Disease",
    "url": "https://arxiv.org/abs/physics/0603032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "422e6291-ff00-44b9-9fbf-7166efded7f3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}