Recent Submissions

  • Neuroprotective Role of Gap Junctions in a Neuron Astrocyte Network Model 

    Huguet Casades, Gemma; Joglekar, Anoushka; Messi, Leopold Matamba; Buckalew, Richard; Wong, Sarah; Terman, David (2016-07-26)
    Article
    Restricted access - publisher's policy
    A detailed biophysical model for a neuron/astrocyte network is developed to explore mechanisms responsible for the initiation and propagation of cortical spreading depolarizations and the role of astrocytes in maintaining ...
  • Weakly Hamilltonian actions 

    Miranda Galcerán, Eva; Martinez Torres, David (2016)
    Article
    Open Access
    In this paper we generalize constructions of non-commutati ve integrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamil tonian actions on ...
  • A note on the symplectic topology of b-manifolds 

    Miranda Galcerán, Eva; Martinez Torres, David; Frejlich, Pedro (2016)
    Article
    Open Access
    Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to b-symplectic manifolds. We pro- vide ...
  • Cotangent models of integrable systems 

    Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-07)
    Article
    Open Access
    We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on b-Poisson/b-symplectic manifolds. The semilocal equivalence with such models uses the corresponding ...
  • Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio 

    Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2016-06)
    Article
    Open Access
    The splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied. We consider a torus with a fast ...
  • Inflation and late-time acceleration from a double-well potential with cosmological constant 

    Haro Cases, Jaume; Elizalde, Emilio (2016-06-01)
    Article
    Restricted access - publisher's policy
    A model of a universe without big bang singularity is presented, which displays an early inflationary period ending just before a phase transition to a kination epoch. The model produces enough heavy particles so as to ...
  • José Gómez Martí 1968-2014: in memoriam 

    Fiol Mora, Miquel Àngel (Societat Catalana de Matemàtiques (SCM), 2015)
    Article
    Open Access
  • A note on the order of iterated line digraphs 

    Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel (Wiley, 2016-07-27)
    Article
    Restricted access - publisher's policy
    Given a digraph G, we propose a new method to find the recurrence equation for the number of vertices n_k of the k-iterated line digraph L_k(G), for k>= 0, where L_0(G) = G. We obtain this result by using the minimal polynomial ...
  • Deterministic hierarchical networks 

    Barrière Figueroa, Eulalia; Comellas Padró, Francesc de Paula; Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel (2016)
    Article
    Restricted access - publisher's policy
    It has been shown that many networks associated with complex systems are small-world (they have both a large local clustering coefficient and a small diameter) and also scale-free (the degrees are distributed according ...
  • Weakly Hamiltonian actions 

    Miranda Galcerán, Eva; Martinez Torres, David (2016)
    Article
    Open Access
    n this paper we generalize constructions of non-commutative in- tegrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamiltonian actions ...

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