### Enviaments recents

• #### Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points ﻿

(2017-08-01)
Article
Accés obert
We 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 ...
• #### Stability of the phase motion in race-track microtrons ﻿

(2017-06-15)
Article
Accés restringit per política de l'editorial
We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajectory of a reference particle in the beam. ...
• #### On the construction of elliptic solutions of integrable birational maps ﻿

(2017-01-01)
Article
Accés restringit per política de l'editorial
We present a systematic technique to find explicit solutions of birational maps, provided that these solutions are given in terms of elliptic functions. The two main ingredients are the following: (i) application of classical ...
• #### Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties ﻿

(Oxford University Press, 2016-09-09)
Article
Accés obert
We construct the explicit solution of the initial value problem for sequences generated by the general Somos-6 recurrence relation, in terms of the Kleinian sigma-function of genus 2. For each sequence there is an associated ...
• #### Arnold diffusion for a complete family of perturbations ﻿

(Springer, 2017-01-01)
Article
Accés obert
In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamiltonian system of 2 + 1/2 degrees of freedom H(p, q, I, f, s) = p2/2+ cos q - 1 + I2/2 + h(q, f, s; e) — proving that for ...
• #### A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems ﻿

(2017-09-01)
Article
Accés restringit per política de l'editorial
Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the discontinuity: should the dynamics be given ...
• #### Central configurations of the planar coorbial satellite problem ﻿

(2004-10)
Article
Accés obert
We study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ...
• #### Phasic firing and coincidence detection by subthreshold negative feedback: divisive or subtractive or, better, both ﻿

(2017-02-02)
Article
Accés obert
Phasic neurons typically fire only for a fast-rising input, say at the onset of a step current, but not for steady or slow inputs, a property associated with type III excitability. Phasic neurons can show extraordinary ...
• #### On the length and area spectrum of analytic convex domains ﻿

(2016-01)
Article
Accés obert
Area-preserving twist maps have at least two different (p, q)-periodic orbits and every (p, q)-periodic orbit has its (p, q)-periodic action for suitable couples (p, q). We establish an exponentially small upper bound for ...
• #### On the asymptotic wavenumber of spiral waves in lambda - omega systems ﻿

(2016-01-01)
Article
Accés restringit per política de l'editorial
In this paper we consider spiral wave solutions of a general class of $\lambda -\omega$ systems with a small twist parameter q and we prove that the asymptotic wavenumber of the spirals is a ${{\mathcal{C}}^{\infty}}$ ...