28 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institute of Mathematical SciencesIN14 papers
- Consejo Superior de Investigaciones CientíficasES9 papers
- Universidad Autónoma de MadridES6 papers
- Universidad Carlos III de MadridES5 papers
- Universidad Complutense de MadridES5 papers
- Universidad de La LagunaES4 papers
- Centre for Automation and RoboticsES3 papers
- Max Planck Institute for Radio AstronomyDE3 papers
- Universidad de CantabriaES3 papers
- Universidad Internacional De La RiojaES3 papers
- Universitat Politècnica de CatalunyaES3 papers
- Cardiff UniversityGB2 papers
28 papers
Complex transitions between spiking, bursting and silent regimes in a new memristive Rulkov neuronal model
Miguel Moreno, Alexandre R. Nieto, Miguel A. F. Sanjuán
The Rulkov model, which simulates the behavior of biological neurons, is modified by replacing one of its control parameters with a memristive, sigmoid-type function of finite memo…
Vibrational resonance in a frequency-adaptive learning Duffing system
Zhongqiu Wan, Jianhua Yang, Feng Tian +2
Vibrational resonance focuses on the resonance behavior of a nonlinear system when it is subjected to both a weak low-frequency characteristic signal and a high-frequency auxiliary…
Consistency of Bayes factors for linear models
Elías Moreno, J. J. Serrano-Pérez, F. Torres-Ruiz
The quality of a Bayes factor crucially depends on the number of regressors, the sample size and the prior on the regression parameters, and hence it has to be established in a cas…
Brackets in multicontact geometry and multisymplectization
Manuel de León, Rubén Izquierdo-López, Xavier Rivas
In this paper we introduce a graded bracket of forms on multicontact manifolds. This bracket satisfies a graded Jacobi identity as well as two different versions of the Leibniz rul…
Practical Introduction to Action-Dependent Field Theories
Manuel de León, Jordi Gaset Rifà, Miguel C. Muñoz-Lecanda +2
Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. They model a larger class of field theories, includ…
The -adic Jaynes-Cummings model in symplectic geometry
Luis Crespo, Álvaro Pelayo
The notion of classical -adic integrable system on a -adic symplectic manifold was proposed by Voevodsky, Warren and the second author a decade ago in analogy with the real c…
Coisotropic reduction in Multisymplectic Geometry
Manuel de León, Rubén Izquierdo-López
In this paper we study coisotropic reduction in multisymplectic geometry. On the one hand, we give an interpretation of Hamiltonian multivector fields as Lagrangian submanifolds an…
Ewald's Conjecture and integer points in algebraic and symplectic toric geometry
Luis Crespo, Álvaro Pelayo, Francisco Santos
We solve several open problems concerning integer points of polytopes arising in symplectic and algebraic geometry. In this direction we give the first proof of a broad case of Ewa…
A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
Manuel de León, Manuel Lainz, Asier López-Gordón +1
The nonholonomic dynamics can be described by the so-called nonholonomic bracket on the constrained submanifold, which is a non-integrable modification of the Poisson bracket of th…
LeMMINGs. V. Nuclear activity and bulge properties: a detailed multi-component decomposition of -MERLIN Palomar galaxies with
B. T. Dullo, J. H. Knapen, R. J. Beswick +12
[Abridged] We use high-resolution imaging and -MERLIN 1.5-GHz observations of galaxy cores from the LeMMINGs survey to investigate the relation between optical structural…
Nonholonomic brackets: Eden revisited
Manuel de León, Manuel Lainz, Asier López-Gordón +1
The nonholonomic dynamics can be described by the so-called nonholonomic bracket in the constrained submanifold, which is a non-integrable modification of the Poisson bracket of th…
Evidence for a radiation belt around a brown dwarf
J. B. Climent, J. C. Guirado, M. Pérez-Torres +2
Radio observations of ultracool dwarfs, objects comprising brown dwarfs and the very lowest mass stars, have mainly focused on analyzing their light-curve and spectral energy distr…
Moduli spaces of Delzant polytopes and symplectic toric manifolds
Álvaro Pelayo, Francisco Santos
This paper introduces modern geometric combinatorial technology from the theory of triangulations in order to derive results in toric symplectic geometry. In the main part of the p…
Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú +1
A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics…
Nonsmooth Herglotz variational principle
Asier López-Gordón, Leonardo Colombo, Manuel de León
In this paper, the theory of smooth action-dependent Lagrangian mechanics (also known as contact Lagrangians) is extended to a non-smooth context appropriate for collision problems…
Multicontact formulation for non-conservative field theories
Manuel de León, Jordi Gaset, Miguel Carlos Muñoz-Lecanda +2
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional…
Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
Manuel de León, Manuel Lainz, Asier López-Gordón +1
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton--Jacobi theory for these s…
A geometric model for non-uniform processes of morphogenesis
V. M. Jiménez, M. de León
In this paper we present an application of the groupoid theory to the study of relevant case of material evolution phenomena, the \textit{process of morphogenesis}. Our theory is i…
Contact Lagrangian systems subject to impulsive constraints
Leonardo J. Colombo, Manuel de León, Asier López-Gordón
We describe geometrically contact Lagrangian systems under impulsive forces and constraints, as well as instantaneous nonholonomic constraints which are not uniform along the confi…
On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory
Begüm Ateşli, Oğul Esen, Manuel de León +1
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem o…
Generalized hybrid momentum maps and reduction by symmetries of forced mechanical systems with inelastic collisions
Leonardo J. Colombo, Manuel de León, María Emma Eyrea Irazú +1
This paper discusses reduction by symmetries for autonomous and non-autonomous forced mechanical systems with inelastic collisions. In particular, we introduce the notion of genera…
Overview of ADoBo 2021: Automatic Detection of Unassimilated Borrowings in the Spanish Press
Elena Álvarez Mellado, Luis Espinosa Anke, Julio Gonzalo Arroyo +2
This paper summarizes the main findings of the ADoBo 2021 shared task, proposed in the context of IberLef 2021. In this task, we invited participants to detect lexical borrowings (…
Inverse problem and equivalent contact systems
Manuel de León, Jordi Gaset, Manuel Lainz Valcázar
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e.…
LeMMINGs. III. The e-MERLIN Legacy Survey of the Palomar sample. Exploring the origin of nuclear radio emission in active and inactive galaxies through the [O III] -- radio connection
R. D. Baldi, D. R. A. Williams, R. J. Beswick +31
What determines the nuclear radio emission in local galaxies? We combine optical [O III] line emission, robust black hole (BH) mass estimates, and high-resolution e-MERLIN 1.5-GHz…