output
19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2009 · math.DSShow all

3 papers · 2 filters

math.DS2009★ 12 cited

Bounded critical Fatou components are Jordan domains, for polynomials

P. Roesch, Yongcheng Yin

We prove that, for polynomials, the boundary of any bounded Fatou component is a Jordan curve, except maybe for Siegel disks.

math.DS2009★ 1 cited

Connectedness of the Arnold tongues for double standard maps

Alexandre Dezotti

We show that the Arnold tongues of the family of double standard maps f_{a,b}(x) = 2x + a + (b/pi) sin(2 pi x), are connected. This proof is accomplished in the complex domain by m…

math.DS2009★ 2 cited

Galoisian obstructions to non-Hamiltonian integrability

Michael Ayoul, Nguyen Tien Zung

We show that the main theorem of Morales--Ramis--Simo about Galoisian obstructions to meromorphic integrability of Hamiltonian systems can be naturally extended to the non-Hamilton…