Pregled bibliografske jedinice broj: 1124628
Remarks on Rational Vector Fields on CP^1
Remarks on Rational Vector Fields on CP^1 // Journal of dynamical and control systems, 27 (2020), 2; 293-320 doi:10.1007/s10883-020-09502-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1124628 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Remarks on Rational Vector Fields on CP^1
Autori
Klimeš, Martin ; Rousseau, Christiane
Izvornik
Journal of dynamical and control systems (1079-2724) 27
(2020), 2;
293-320
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
rational vector fields ; meromorphic abelian differentials ; translation surfaces ; holomorphic dynamics ; bifurcations
Sažetak
In this paper, we introduce geometric tools to study the families of rational vector fields of a given degree over CP1. To a generic vector field of such a parametric family, we associate several geometric objects: a periodgon, a star domain, and a translation surface. These objects generalize objects with the same name introduced in previous works on polynomial vector fields. They are used to describe the bifurcations inside the families. We specialize to the case of rational vector fields of degree 4.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
