most citedConstruction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.DS2023

Invariant manifolds of maps and vector fields with nilpotent parabolic tori

Clara Cufí-Cabré, Ernest Fontich

We consider analytic maps and vector fields defined in , having a -dimensional invariant torus . The map (resp. vector field) rest…

math.DS2023

Functional shift-induced degenerate transcritical Neimark-Sacker bifurcation in a discrete hypercycle

E. Fontich, A. Guillamon, J. Perona +1

In this article we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts fro…

math.DS2014★ 1 cited

Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices

Ernest Fontich, Rafael de la Llave, Yannick Sire

We construct quasi-periodic and almost periodic solutions for coupled Hamiltonian systems on an infinite lattice which is translation invariant. The couplings can be long range, pr…