Normal forms and Misiurewicz renormalization for dissipative surface diffeomorphisms
Dynamical Systems
2014-04-09 v1
Abstract
We define a hyperbolic renormalizations suitable for maps of small determinant, with uniform bounds for large periods. The techniques involve an improvement of the celebrated Palis-Takens renormalization and normal forms (fibered linearizations). These techniques are useful to study the dynamics of H\'enon like maps and the geometry of their parameter space.
Cite
@article{arxiv.1404.2235,
title = {Normal forms and Misiurewicz renormalization for dissipative surface diffeomorphisms},
author = {Pierre Berger},
journal= {arXiv preprint arXiv:1404.2235},
year = {2014}
}