Dynamics of two-resonant biholomorphisms
Jasmin Raissy, Liz Vivas
TL;DR
This paper investigates the existence of basins of attraction for specific biholomorphic germs in complex n-space, focusing on cases with two-dimensional resonance families in their eigenvalues.
Contribution
It provides new insights into the dynamics of 2-resonant biholomorphisms, a class with complex resonance structures, expanding understanding of their local attraction properties.
Findings
Identifies conditions for basins of attraction in 2-resonant cases
Characterizes the structure of resonances affecting dynamics
Extends previous results to more complex resonance scenarios
Abstract
In this paper we study the existence of basins of attraction for germs of 2-resonant biholomorphisms of fixing a point, that is germs such that the eigenvalues of the differential at the fixed point have a 2 dimensional family of resonances.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.