Pith Number

pith:466Q2EYF

pith:2026:466Q2EYFF4EZPXJHJFUJC62LG6

not attested not anchored not stored refs resolved

Revealing dynamics of non-autonomous complex systems from data

Chengzuo Zhuge, Wei Chen, Zhefan Xu, Zheng Jiang

A data-driven method discovers governing equations for non-autonomous systems by selecting optimal basis functions from a library.

arxiv:2605.13878 v1 · 2026-05-10 · nlin.CD · math.DS · physics.data-an

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\pithnumber{466Q2EYFF4EZPXJHJFUJC62LG6}

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Our method demonstrates effectiveness in equation discovery on canonical synthetic systems such as cusp bifurcation and coupled Kuramoto oscillators. Furthermore, we extend the application of this approach to leaf cellular energy, unmanned aerial vehicle navigation, chick-heart aggregates, and marine fish community under simple basis function libraries.

C2weakest assumption

The true non-autonomous dynamics can be accurately represented by a sparse linear combination of functions drawn from a user-supplied basis library, and that an optimal subset can be identified under simplified prior specifications.

C3one line summary

A data-driven framework discovers non-autonomous dynamical equations from data via optimal basis function selection, shown effective on synthetic systems and applied to biological and engineering examples.

References

66 extracted · 66 resolved · 0 Pith anchors

[1] De Col, V.et al.Atp sensing in living plant cells reveals tissue gradients and stress dynamics of energy physiology.Elife6, e26770 (2017). 21 2017

[2] Wagner, S.et al.Multiparametric real-time sensing of cytosolic physiology links hypoxia responses to mitochondrial electron transport.New Phytologist224, 1668– 1684 (2019) 2019

[3] Influence of water flow, water temperature and light on fish migration in rivers.Nordic Journal of Freshwater Research66, 20–35 (1991) 1991

[4] Marra, P. P., Francis, C. M., Mulvihill, R. S. & Moore, F. R. The influence of climate on the timing and rate of spring bird migration.Oecologia142, 307–315 (2005) 2005

[5] In IEEE Intelligent Vehicles Symposium, 163–168 (IEEE, 2011) 2011

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:19.221569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7bd0d13052f0997dd274968917b4b37bc41cbb6bcf71f235bd994db71068315

Aliases

arxiv: 2605.13878 · arxiv_version: 2605.13878v1 · doi: 10.48550/arxiv.2605.13878 · pith_short_12: 466Q2EYFF4EZ · pith_short_16: 466Q2EYFF4EZPXJH · pith_short_8: 466Q2EYF

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/466Q2EYFF4EZPXJHJFUJC62LG6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e7bd0d13052f0997dd274968917b4b37bc41cbb6bcf71f235bd994db71068315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded836287d8a7bb57a3483203b6c1d408e6eadf7aa55a0a3e8121104a7a28438",
    "cross_cats_sorted": [
      "math.DS",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-05-10T09:20:55Z",
    "title_canon_sha256": "68711841aff248d739cf8df50ebdb5df6b95e6bbe86b40919c3f1b8cb6521156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13878",
    "kind": "arxiv",
    "version": 1
  }
}