Construct · 1 fields · 1 citations

Hilbert's sixteenth problem: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Dynamical systems

the open question of bounding the number and arrangement of limit cycles of planar polynomial vector fields in terms of degree.

In dynamical systems, Hilbert's sixteenth problem refers to the open question of bounding the number and arrangement of limit cycles of planar polynomial vector fields in terms of degree. This meaning comes from Ilyashenko (2002) in Bulletin of the American Mathematical Society.[1]

Unit
Recovery means
Measured by

Run it through the Collider, or take the citations with you.

See how Hilbert's sixteenth problem sits against neighbouring constructs in the Collider, or export every reference on this page in one click.

Open in Collider Export BibTeX Report this entry

Nearby constructs

arrangement3 fields · 6 citationsjingle · one word, three constructs degree1 fields · 1 citationsanchor · a standalone construct dynamics3 fields · 3 citationsjingle · one word, three constructs

References

Ilyashenko, Y. (2002). Centennial History of Hilbert's 16th Problem. Bulletin of the American Mathematical Society, 39(03), 301-355. https://doi.org/10.1090/s0273-0979-02-00946-1

Cited on this page?

Confirm your construct, or correct us.

If your work is cited behind one of these entries, you know better than we do whether we captured the meaning right. Confirm it, suggest an edit, or dispute it, and your name goes on the entry as an author who has checked it, linked to your ORCID.

Claim your construct