Reports de recerca
Recent Submissions
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Open problems, questions, and challenges in finite-dimensional integrable systems
(2018-04-11)
External research report
Open AccessThe paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference ... -
Report on the EGNSS competition after Y2
(2017-05-21)
External research report
Restricted access - author's decision -
The geometry of E-manifolds
(2018-02-09)
External research report
Open AccessMotivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an E-tangent bundle) which is particularly well-suited to study of singular differential forms and their cohomology. ... -
Periodic points of a Landen transformation
(2018-01-12)
External research report
Open AccessWe prove the existence of 3-periodic orbits in a dynamical system associated to a Landen transformation previously studied by Boros, Chamberland and Moll, disproving a conjecture on the dynamics of this planar map introduced ... -
Some manifolds of periodic orbits in the restricted three body problem
(1984)
External research report
Open AccessIn the present paper we give some numerical results about natural families of periodic orbits, which emanate from limiting orbits around equilateral equilibrium points of the Restricted Three Body Problem, when the mass ... -
Locating domination in bipartite graphs and their complements
(2017-11-03)
External research report
Open AccessA set S of vertices of a graph G is distinguishing if the sets of neighbors in S for every pair of vertices not in S are distinct. A locating-dominating set of G is a dominating distinguishing set. The location-domination ... -
Metric-locating-dominating partitions in graphs
(2017-11-03)
External research report
Open AccessA partition ¿ = { S 1 ,...,S k } of the vertex set of a connected graph G is a metric-locating partition of G if for every pair of vertices u,v belonging to the same part S i , d ( u,S j ) 6 = d ( v,S j ), for some other ... -
Dominating 2- broadcast in graphs: complexity, bounds and extremal graphs
(2017-10-16)
External research report
Open AccessLimited dominating broadcasts were proposed as a variant of dominating broadcasts, where the broadcast function is upper bounded. As a natural extension of domination, we consider dominating 2-broadcasts along with the ... -
Bifurcation of 2-periodic orbits from non-hyperbolic fixed points
(2017-07-21)
External research report
Open AccessWe introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful ... -
Geometric quantization of semitoric systems and almost toric manifolds
(2017)
External research report
Open AccessKostant gave a model for the real geometric quantization associated to polarizations via the cohomology associated to the sheaf of flat sections of a pre-quantum line bundle. This model is well-adapted for real polarizations ... -
An invitation to singular symplectic geometry
(2017)
External research report
Open AccessIn this paper we analyze in detail a collection of motivating examples to consider bm- symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ... -
From subKautz digraphs to cyclic Kautz digraphs
(2017)
External research report
Open AccessKautz digraphs K(d,l) are a well-known family of dense digraphs, widely studied as a good model for interconnection networks. Closely related with these, the cyclic Kautz digraphs CK(d,l) were recently introduced by Böhmová, ...
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