For surface diffeomorphisms with regular orbits, explicit inequalities on contraction and domination yield C^r charts that quasi-linearize the dynamics and produce stable and center manifolds with uniformly bounded geometry.
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Quantitative Estimates on Invariant Manifolds for Surface Diffeomorphisms
For surface diffeomorphisms with regular orbits, explicit inequalities on contraction and domination yield C^r charts that quasi-linearize the dynamics and produce stable and center manifolds with uniformly bounded geometry.