Exploració per autor "Fontich, Ernest"
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Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results
Baldomá Barraca, Inmaculada; Fontich, Ernest; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa (2011)
Report de recerca
Accés obertIn this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide ... -
Full analysis of small hypercycles with short-circuits in prebiotic evolution
Lázaro Ochoa, José Tomás; Guillamon Grabolosa, Antoni; Fontich, Ernest; Sardañés, Josep (2017-01-05)
Article
Accés obertIt is known that hypercycles are sensitive to the so-called parasites and short-circuits. While the impact of parasites has been widely investigated for well-mixed and spatial hypercycles, the effect of short-circuits in ... -
Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
Baldomá Barraca, Inmaculada; Fontich, Ernest; Martín, Pau (2017-08-01)
Article
Accés obertWe study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue ...