Pith Number

pith:HKDM5L73

pith:2026:HKDM5L73FJ6WCGXIH63VL2QWBG

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Stability analysis of Richardson models with delay for confrontation between two countries

Anatoliy A.Martynyuk, Teresa Faria

A delay differential equation model establishes global asymptotic stability for two-country confrontations with time-varying hostility.

arxiv:2605.13823 v1 · 2026-05-13 · math.DS

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4 Citations open

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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

For the non-autonomous model, conditions ensuring the global asymptotic stability for both the linear approximation and the nonlinear system are established.

C2weakest assumption

The confrontation dynamics are adequately captured by a deterministic system of delay differential equations whose coefficients (including the hostility factor) can be treated as either constant or explicitly time-varying without additional stochastic or multi-agent effects.

C3one line summary

A non-autonomous Richardson-type model with delay for two-country confrontation yields asymptotic stability under hostility-dependent conditions and Hopf bifurcations at critical delays in the autonomous case.

References

27 extracted · 27 resolved · 0 Pith anchors

[1] Arino O., Gy¨ ori I., Pituk M., Asymptotically diagonal delay differential systems,J. Math. Anal. Appl.204 (1996), 701–728 1996

[2] Berezansky L., Dibl´ ık J., Svoboda Z., Smarda Z., Exponential stability of linear delayed differ- ential systems,Appl. Math. Comput.320 (2018), 474–484 2018

[3] Bohner M., Martynyuk A.A., Equilibrium stability under nuclear confrontation,Differ. Equ. Dyn. Syst.34 (2024), 209–223 2024

[4] Burton T.A.,Stability and Periodic Solutions of Ordinary and Functional Differential Equations, 2nd Ed., Dover Publications Inc., Mineola, NY, 2005 2005

[5] Studies Quarterly11 (1967), 63–88 1967

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:15.214133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a86ceaffb2a7d611ae83fb755ea1609a0da472f218b7ba56f6dc3a80bd5c6e8

Aliases

arxiv: 2605.13823 · arxiv_version: 2605.13823v1 · doi: 10.48550/arxiv.2605.13823 · pith_short_12: HKDM5L73FJ6W · pith_short_16: HKDM5L73FJ6WCGXI · pith_short_8: HKDM5L73

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HKDM5L73FJ6WCGXIH63VL2QWBG \
  | 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: 3a86ceaffb2a7d611ae83fb755ea1609a0da472f218b7ba56f6dc3a80bd5c6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69afaeb161b0e77ebd1b403c3d91dfe2d18fedd315a940f6530106adf83a178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-13T17:50:02Z",
    "title_canon_sha256": "068651d8e3b67a6238a03b5af90063497973367e1a1136603e60fcd652a0cf26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13823",
    "kind": "arxiv",
    "version": 1
  }
}