Naslov
Topological Equivalence of Planar Vector Fields and Their Generalised Principal Part

Autori
Županović, Vesna

Izvornik
Journal of differential equations (0022-0396) 167 (2000), 1; 1-15

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
vector field ; singularity ; topological equivalence ; Newton diagram ; blowing-up

Sažetak
Let $\chi(R^2)$ be the space of $C^\infty$ planar vector fields. We consider the space $V\subset\chi(R^2)$ of vector fields with an isolated singularity and a fixed Newton diagram. We define the generalised principal part $X_{;\bar\Delta};$, using the Newton diagram. We prove that $X\in V$ is locally topologically equivalent to its minimal generalised principal part $X_{;\hat\Delta};$, if $X_{;\bar\Delta};$ is nondegenerate and X is not a monodromic vector field. In the proof we use the normal form method and the blowing-up method.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA