Pith Number

pith:Z2OFD36N

pith:2026:Z2OFD36NTNNKTR2RXLNNAJ6PMI

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Analytical foundation for adversarial synchronization control in oscillator networks

Kazuhiro Takemoto

Adversarial kicks in Kuramoto oscillator networks produce a finite, coupling-independent increment in the synchronization order parameter.

arxiv:2605.14492 v1 · 2026-05-14 · nlin.AO · physics.soc-ph

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Claims

C1strongest claim

each kick produces a finite, coupling-independent increment in the order parameter even when synchronization is arbitrarily weak, which combined with slow relaxation near the critical coupling and mean-field feedback explains the disproportionate amplification previously observed in numerical simulations

C2weakest assumption

The Ott-Antonsen reduction remains valid for the perturbed system and that the annealed network approximation accurately captures the synchronization behavior of representative model networks

C3one line summary

Derives exact closed-form increment to the order parameter from each adversarial kick in Kuramoto networks, independent of coupling strength, using Ott-Antonsen reduction.

References

30 extracted · 30 resolved · 0 Pith anchors

[1] Physics reports , volume= 2008

[2] Synchronization in complex networks of phase oscillators: A survey , author=. Automatica , volume=. 2014 , publisher= 2014

[3] Chaos: An Interdisciplinary Journal of Nonlinear Science , volume= 2025

[4] Chaos: An Interdisciplinary Journal of Nonlinear Science , volume= 2008

[5] Chaos: An interdisciplinary journal of nonlinear science , volume= 2009

Receipt and verification

First computed	2026-05-17T23:39:06.419264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9c51efcd9b5aa9c751badad027cf623354b66a649a7a4427993b647641c62d

Aliases

arxiv: 2605.14492 · arxiv_version: 2605.14492v1 · doi: 10.48550/arxiv.2605.14492 · pith_short_12: Z2OFD36NTNNK · pith_short_16: Z2OFD36NTNNKTR2R · pith_short_8: Z2OFD36N

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2OFD36NTNNKTR2RXLNNAJ6PMI \
  | 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: ce9c51efcd9b5aa9c751badad027cf623354b66a649a7a4427993b647641c62d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b641712cfd28db03d6a9ab90977349c1526546d5b2a02fa273d76935a0129847",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2026-05-14T07:31:14Z",
    "title_canon_sha256": "50ba52875e0cf45b506f8387635b93c4c16597e7c1e1c543d60d306c30cd9bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14492",
    "kind": "arxiv",
    "version": 1
  }
}