Paper Citation Record · LEDGER

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.16171.

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pith.paper-citation-record.v1
2607.16171 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:18:41.054891Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

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External citation measurements

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Outbound references

Observation 11511bef-427b-4585-8384-19c450c0763e · outbound

This paper cites Dynamical systems and differential equations,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Dynamical systems and differential equations,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.031951Z

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Observation a084f0d7-cf1d-475a-b2e8-3c7d64315a97 · outbound

This paper cites On Arnold’s Hilbert symposium problems,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function On Arnold’s Hilbert symposium problems,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.164915Z

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Observation 1e80152e-3c36-4675-8060-2a744918959d · outbound

This paper cites A decision method for elementary algebra and geometry,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function A decision method for elementary algebra and geometry,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.290263Z

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Observation 3d15d6d6-c25c-4f76-83be-5446dcdaf6bf · outbound

This paper cites Classical converse theorems in Lyapunov’s second method,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Classical converse theorems in Lyapunov’s second method,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.385162Z

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Observation f869b910-8e10-4841-9dc6-374c85f98540 · outbound

This paper cites Homogeneous Lyapunov function for homogeneous continu- ous vector field,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Homogeneous Lyapunov function for homogeneous continu- ous vector field,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.535040Z

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Observation bb0eb172-d671-491f-b100-dae4a6a560e0 · outbound

This paper cites On the difficulty of deciding asymptotic stability of cubic homogeneous vector fields,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function On the difficulty of deciding asymptotic stability of cubic homogeneous vector fields,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.634766Z

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Observation 80b77762-5691-4ffc-b5d6-14dfecec7c34 · outbound

This paper cites Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.734756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43bee179-e4b0-46f6-b44a-86a62d98f56c · outbound

This paper cites Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.854765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 704853b3-58c8-4d80-b135-02ec0be76829 · outbound

This paper cites On algebraic proofs of stability for homogeneous vector fields,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function On algebraic proofs of stability for homogeneous vector fields,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:39.995393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03a09205-2627-4401-a29c-1b7ba35b5a33 · outbound

This paper cites A neural network approach to finding global Lyapunov functions for homogeneous vector fields,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function A neural network approach to finding global Lyapunov functions for homogeneous vector fields,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.094751Z

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Unavailable: canonical work link unavailable.

Observation ee700019-b2d2-4234-bcc6-ae3071c7bf5a · outbound

This paper cites Bacciotti and L.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Bacciotti and L

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.264598Z

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Observation 85b1f3a1-136d-41bf-ace7-0a17d23527e4 · outbound

This paper cites A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.374878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eabf1ec7-9507-43f1-9ec8-810f80a0ce72 · outbound

This paper cites A globally asymptotically stable poly- nomial vector field with rational coefficients and no local polynomial Lyapunov function,.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function A globally asymptotically stable poly- nomial vector field with rational coefficients and no local polynomial Lyapunov function,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.493026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d7d8c3d-1388-4928-95e7-443b055fa0ea · outbound

This paper cites Hahn,Stability of Motion.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Hahn,Stability of Motion

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.605937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3e2de1a-147c-4588-bdc8-acf3020d418c · outbound

This paper cites Dumitrescu,Positive Trigonometric Polynomials and Signal Process- ing Applications, 2nd ed.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Dumitrescu,Positive Trigonometric Polynomials and Signal Process- ing Applications, 2nd ed

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.710625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33ebc055-1438-4ef5-9214-3836d7fd4654 · outbound

This paper cites an unresolved cited work.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:40.845733Z

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Observation fbbd1f3a-ac51-4901-bdb9-b170593dfcec · outbound

This paper cites an unresolved cited work.

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:18:41.054891Z

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Pith citing papers

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