Pregled bibliografske jedinice broj: 1104337
Normal forms and embeddings for power-log transseries
Normal forms and embeddings for power-log transseries // Sixth Croatian Mathematical Congress, Book of abstracts
Zagreb, Hrvatska, 2016. str. 108-108 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1104337 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Normal forms and embeddings for power-log transseries
Autori
Resman, Maja ; Mardešić, Pavao ; Rolin, Jean-Philippe ; Županović, Vesna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Sixth Croatian Mathematical Congress, Book of abstracts
/ - , 2016, 108-108
Skup
6th Croatian Mathematical Congress
Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
formal normal forms, parabolic transseries
Sažetak
First return maps in the neighborhood of hyperbolic polycycles have their asymptotic expansion as Dulac series, which are series with power-logarithm monomials. We extend the class of Dulac series to an algebra of power-logarithm transseries. Inside this new algebra, we provide formal normal forms of power-log transseries and a formal embedding theorem. The questions of classifications and of embeddings of germs into flows of vector fields are common problems in dynamical systems. Aside from that, our motivation for this work comes from fractal analysis of orbits of first return maps around hyperbolic polycycles. This is a joint work with Pavao Mardešić, Jean-Philippe Rolin and Vesna Županović.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
