Pregled bibliografske jedinice broj: 1124644
Generic 2-parameter perturbations of parabolic singular points of vector fields in C
Generic 2-parameter perturbations of parabolic singular points of vector fields in C // Conformal Geometry and Dynamics, 22 (2018), 141-184 doi:10.1090/ecgd/325 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generic 2-parameter perturbations of parabolic singular points of vector fields in C
Autori
Klimeš, Martin ; Rousseau, Christiane
Izvornik
Conformal Geometry and Dynamics (1088-4173) 22
(2018);
141-184
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
polynomial vector fields ; unfoldings ; bifurcations
Sažetak
We describe the equivalence classes of germs of generic 2-parameter families of complex vector fields (z)over dot = w(is an element of)(z) on C unfolding a singular parabolic point of multiplicity k + 1: omega(0) = z(k+1) + O(z(k+1)). The equivalence is under conjugacy by holomorphic change of coordinate and parameter. As a preparatory step, we present the bifurcation diagram of the family of vector fields (z)over dot = z(k+1) + is an element of(1)z + is an element of(0) over CP1. This presentation is done using the new tools of periodgon and star domain. We then provide a description of the modulus space and (almost) unique normal forms for the equivalence classes of germs.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
