Bounded analytic maps, Wall fractions and ABC flow

2013/02/14 by Alexei Tsygvintsev, Tsygvintsev, Alexei
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1302.3279

openalex publication_date 2013/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we study the qualitative properties of real analytic bounded maps defined in the infinite complex strip. The main tool is approximation by continued g-fractions of Wall. As an application, the ABC flow system is considered which is essential to the origin of the solar magnetic field.

Citations

• The solution of then-body problem

Related

• Geodesic flow on the Teichmueller disk of the regular octagon, cutting\n sequences and octagon continued fractions maps
• Geodesic flows and slow downs of continued fraction maps
• Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature
• An elegant model of the geodesic flow on the modular surface
• Ahlfors circle maps and total reality: from Riemann to Rohlin