Normal forms and Misiurewicz renormalization for dissipative surface diffeomorphisms
arXiv:1404.2235
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 Hénon like maps and the geometry of their parameter space.