activity
20092020
most citedConstruction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions

3 citations · 3 across the 3 of their papers we have counts for

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Showing 2020Show all

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math.DS2020

Normal forms and Sternberg conjugation theorems for infinite dimensional coupled map lattices

Ruben Berenguel, Ernest Fontich

In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to fi…

math.DS2020

Differentiable invariant manifolds of nilpotent parabolic points

Clara Cufí-Cabré, Ernest Fontich

We consider a map of class with a fixed point of parabolic type whose differential is not diagonalizable and we study the existence and regularity of the invariant manifo…