A note on characterizing maximally looped complex curves (Q1610104)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A note on characterizing maximally looped complex curves |
scientific article; zbMATH DE number 1783196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on characterizing maximally looped complex curves |
scientific article; zbMATH DE number 1783196 |
Statements
A note on characterizing maximally looped complex curves (English)
0 references
18 August 2002
0 references
Motivated by applications in chaos theory maximally looped closed planar curves \(C\) with a finite number \(n>0\) of self-transversal double points and with no triple points are investigated. After a simple characterization of such curves \(C\) it is shown that for these curves i) \(n\) is odd, ii) the winding number of their tangents has the value \(-2\) or 0 or \(+2\) and iii) a curve without inflection points has exactly \(n\) double tangents.
0 references
maximally looped closed
0 references
planar curves
0 references
self-transversal
0 references
double points
0 references
double tangents
0 references
winding number of tangents
0 references
0.8891749382019043
0 references
0.8402745723724365
0 references
0.7015926241874695
0 references
0.700848400592804
0 references
