{
  "id": "2108.13172",
  "version": "v1",
  "published": "2021-08-16T19:39:56.000Z",
  "updated": "2021-08-16T19:39:56.000Z",
  "title": "Stochastic synchronization induced by noise",
  "authors": [
    "Yunxiang Song",
    "Thomas A. Witten"
  ],
  "comment": "10 pages, 6 figures",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD",
    "physics.bio-ph",
    "physics.data-an"
  ],
  "abstract": "Random perturbations applied in tandem to an ensemble of objects can synchronize their motion. We study multiple copies of an object in periodic motion such as a firing neuron, each with an arbitrary phase. Randomly-timed external impulses can synchronize these phases. For impulses slightly too strong to synchronize, we find remarkable erratic synchronization, with stochastic fluctuations from near-perfect to more random synchronization. The sampled entropies of these phase distributions themselves form a steady-state ensemble. A stochastic dynamics model for the entropy's evolution accounts for the observed exponential distribution of entropies and the stochastic synchronization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-16T19:39:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic synchronization",
      "entropys evolution accounts",
      "study multiple copies",
      "stochastic dynamics model",
      "random perturbations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}