全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:... Josep Sardanyés , Antoni Guillamon , Ernest Fontich
来源:[J].Nonlinear Dynamics(IF 3.009), 2017, Vol.90 (3), pp.1873-1883Springer
摘要:Establishing the conditions allowing for the stable coexistence in hypercycles has been a subject of intensive research in the past decades. Deterministic, time-continuous models have indicated that, under appropriate parameter values, hypercycles are bistable systems, having two...
作者:Ernest Fontich , Rafael de la Llave , Yannick Sire
来源:[J].Journal of Differential Equations(IF 1.48), 2015, Vol.259 (6), pp.2180-2279Elsevier
摘要:Abstract(#br)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, provided that they decay moderately fast with respect to the distance.(#br)For the s...
作者:Inmaculada Baldomá , Ernest Fontich , Pau Martín
来源:[J].Journal of Differential Equations(IF 1.48), 2019Elsevier
摘要:Abstract(#br)In this paper we study the existence and regularity of stable manifolds associated to fixed points of parabolic type in the differentiable and analytic cases, using the parametrization method.(#br)The parametrization method relies on a suitable approximate solut...
作者:Inmaculada Baldomá , Ernest Fontich , Pau Martín
来源:[J].Journal of Differential Equations(IF 1.48), 2019Elsevier
摘要:Abstract(#br)We study the computation of local approximations of invariant manifolds of parabolic fixed points and parabolic periodic orbits of periodic vector fields. If the dimension of these manifolds is two or greater, in general, it is not possible to obtain polynomial appro...
作者:... J. Tomás Lázaro , Toni Guillamon , Ernest Fontich
来源:[J].Physica D: Nonlinear Phenomena(IF 1.669), 2016Elsevier
摘要:Abstract(#br)It 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 hypercycles remains poorly understood. In...
作者:Antoni Guillamon , Ernest Fontich , Josep Sardanyés
来源:[J].Journal of Theoretical Biology(IF 2.351), 2015, Vol.387, pp.23-30Elsevier
摘要:Abstract(#br)We investigate the dynamics and transitions to extinction of hypercycles governed by periodic orbits. For a large enough number of hypercycle species ( n > 4 ) the existence of a stable periodic orbit has been previously described, showing an apparent coincidenc...
作者:Ernest Fontich , Marcel Guardia
来源:[J].Journal of Differential Equations(IF 1.48), 2012, Vol.253 (12), pp.3304-3439Elsevier
摘要:Abstract(#br)We study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation fast and periodic in time. We provide a result valid for general systems which are algebraic or trigon...
作者:Ernest Fontich , Josep Sardanyés
来源:[J].Physica A: Statistical Mechanics and its Applications(IF 1.676), 2009, Vol.388 (9), pp.1867-1878Elsevier
摘要:Abstract(#br)We present a simple mean field model to analyze the dynamics of competition between two populations of replicators in terms of the degree of intraspecific cooperation (i.e., autocatalysis) in one of these populations. The first population can only replicate with...
作者:Ernest Fontich , Rafael de la Llave , Pau Martín
来源:[J].Journal of Differential Equations(IF 1.48), 2011, Vol.250 (6), pp.2887-2926Elsevier
摘要:Abstract(#br)This is the second part of the work devoted to the study of maps with decay in lattices. Here we apply the general theory developed in Fontich et al. (2011) [3] to the study of hyperbolic sets. In particular, we establish that any close enough perturbation with decay...

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