Normal forms and embeddings for power-log transseries (CROSBI ID 698764)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Resman, Maja ; Mardešić, Pavao ; Rolin, Jean-Philippe ; Županović, Vesna
engleski
Normal forms and embeddings for power-log transseries
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.
formal normal forms, parabolic transseries
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Podaci o prilogu
108-108.
2016.
objavljeno
Podaci o matičnoj publikaciji
Sixth Croatian Mathematical Congress, Book of abstracts
Podaci o skupu
6th Croatian mathematical congress
predavanje
14.06.2016-17.06.2016
Zagreb, Hrvatska