Dynamics of two-resonant biholomorphisms

Jasmin Raissy (1) , Liz Vivas (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Purdue University [West Lafayette]

In this paper, we study the existence of basins of attraction for germs of tworesonant biholomorphisms of $\mathbb{C}^n$ fixing a point, that is germs such that the eigenvalues of the differential at the fixed point have a two dimensional family of resonances.

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Jasmin Raissy, Liz Vivas. Dynamics of two-resonant biholomorphisms. Mathematical Research Letters, 2013, 20 (4), pp.757 - 771. ⟨10.4310/MRL.2013.v20.n4.a11⟩. ⟨hal-00968290⟩