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arXiv · 1404.2235

Normal forms and Misiurewicz renormalization for dissipative surface diffeomorphisms

Pierre Berger
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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.

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Pierre Berger. 2014-04-08. Normal forms and Misiurewicz renormalization for dissipative surface diffeomorphisms. https://arxiv.org/abs/1404.2235

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