Reports de recerca
Recent Submissions
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A dynamic Parrondo's paradox for continuous seasonal systems
(2019-11-27)
External research report
Open AccessWe show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is ... -
Phase portraits of random planar homogeneous vector fields
(2019-11-26)
External research report
Open AccessWe study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the problem and, moreover, either we give the exact ... -
A Poincaré lemma in geometric quantisation
(2013)
External research report
Open AccessThis paper presents a Poincaré lemma for the Kostant comple x, used to compute geometric quantisation, when the polarisat ion is given by a Lagrangian foliation defined by an integrable system wit h non-degenerate singularities. -
Convexity for Hamiltonian torus actions on b-symplectic manifolds
(2014-12)
External research report
Open AccessIn [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ... -
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
(2019-06)
External research report
Open AccessWe study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional ... -
Metric dimension of maximal outerplanar graphs
(2019-03-28)
External research report
Open Access -
Trees whose even-degree vertices induce a path are antimagic
(2019-05-16)
External research report
Open AccessAn antimagic labeling of a connected graph G is a bijection from the set of edges E(G) to {1, 2, . . . , |E(G)|} such that all vertex sums are pairwise distinct, where the vertex sum at vertex v is the sum of the labels ... -
Desingularizing b^m-symplectic structures
(2015-12)
External research report
Open AccessA 2n-dimensional Poisson manifold (M,¿) is said to be bm-symplectic if it is symplectic on the complement of a hypersurface Z and has a simple Darboux canonical form at points of Z which we will describe below. In this ... -
7demates: memòria: curs 2017-18
(2018-07)
External research report
Open Access -
Report: Temps de... STEM
(2018-05-22)
External research report
Open AccessLa ciència en acció és, ara més que mai, STEM, de manera que "Temps de ...STEM" és una fórmula d'actualitat: integra ciència i cultura, establint ponts entre públic de totes edats i professorat de tots nivells, des d'infantil ... -
Cotangent models for integrable systems on $b$-symplectic manifolds
(2016-01)
External research report
Open Access -
Equivariant classification of bm-symplectic surfaces and Nambu structures
(2016)
External research report
Open AccessIn this paper we extend the classification scheme in [S] for bm-symplectic surfaces, and more generally, bm-Nambu structures to the equivariant setting. When the compact group is the group of deck-transformations of an ...
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