Total convergence or general divergence in Small Divisors
Ricardo Perez-Marco
Abstract
We study generic holomorphic families of dynamical systems presenting problems of small divisors with fixed arithmetic. We prove that we have convergence for all parameter values or divergence everywhere except for an exceptional set in the potential theory sense. We illustrate this general principle in different problems of small divisors.
Create a lesson
Related papers
ω-limit sets of triangular maps over periodic orbits of the base
Juan Luis García Guirao
The full Kolakoski shift is topologically transitive
Andrew C. Mitchell, James J. Walton, Michael F. Whittaker
Delay-induced multirhythmicity in a 3-cell inhibitory network
Xinxin Qie, Morten Gram Pedersen, Jian Song et al.
Natural Expansiveness and Equilibrium States for Semiflows
Nelda Tamblay, Juan Francisco Peña
Largest-Angle Bisection and Statistical Regularization of Triangle Shapes
Jérôme Michaud
Planar Central Configurations of Four Equal Masses: Classification and Morse Indices
Xiaoxiang Huangfu, Huatong Shen