### Recent Submissions

• #### On the enumeration of bipartite simple games ﻿

(2021-07-15)
Article
Restricted access - publisher's policy
This paper provides a classification of all monotonic bipartite simple games. The problem we deal with is very versatile since simple games are inequivalent monotonic Boolean functions, functions that are used in many ...
• #### Global phase-amplitude description of oscillatory dynamics via the parameterization method ﻿

(Institute of Physics (IOP), 2020-08-01)
Article
Open Access
In this paper, we use the parameterization method to provide a complete description of the dynamics of an n-dimensional oscillator beyond the classical phase reduction. The parameterization method allows us, via efficient ...
• #### Analytical and numerical results on families of n-ejection-collision orbits in the RTBP ﻿

(2020-11-01)
Article
Restricted access - publisher's policy
In the planar RTBP with mass ratio µ we regularise the singularity at one of the primaries by means of Levi-Civita’s transformation in a rotating frame. We solve the variational equations in a neighbourhood of the ...
• #### Identifying codes in line digraphs ﻿

(Elsevier, 2020-10-15)
Article
Restricted access - publisher's policy
Given an integer  = 1, a (1, = )-identifying code in a digraph is a dominating subset C of vertices such that all distinct subsets of vertices of cardinality at most ` have distinct closed in-neighbourhood within C. In ...
• #### Optimal regularity of stable solutions to nonlinear equations involving the p-Laplacian ﻿

(2020-01-01)
Article
Restricted access - publisher's policy
We consider the equation-¿pu=f(u)in a smooth bounded domain ofRn, where¿pis thep-Laplaceoperator. Explicit examples of unbounded stable energy solutions are known ifn=p+4pp-1. Instead, whenn<p+4pp-1, stable solutions have ...
• #### A contact geometry framework for field theories with dissipation ﻿

(2020-03-01)
Article
Open Access
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of k-contact structure and k-contact Hamiltonian system. This is a generalization ...

(2020-10-01)
Article
Open Access
We study the class of link-types that admit a -minor-free diagram, i.e., they can be projected on the plane so that the resulting graph does not contain any subdivision of . We prove that is the closure of a subclass of ...
• #### Unified Lagrangian-Hamiltonian formalism for contact systems ﻿

(2020-06-23)
Article
Restricted access - publisher's policy
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of the pioneering work of R. Skinner and R. ...
• #### Sidon set systems ﻿

(2020-02-11)
Article
Open Access
A family A of k-subsets of {1,2,…,N} is a Sidon system if the sumsets A+B, A,B¿A are pairwise distinct. We show that the largest cardinality Fk(N) of a Sidon system of k-subsets of [N] satisfies Fk(N)=(N-1k-1)+N-k and the ...
• #### An ensemble learning solution for predicitive manintenance of wind turbines main bearing ﻿

(Multidisciplinary Digital Publishing Institute (MDPI), 2021-02)
Article
Open Access
A novel and innovative solution addressing wind turbines’ main bearing failure predictions using SCADA data is presented. This methodology enables to cut setup times and has more flexible requirements when compared to the ...
• #### A rainbow Dirac's theorem ﻿

(2020-01-01)
Article
Open Access
A famous theorem of Dirac states that any graph on n vertices with minimum degree at least n/2 has a Hamilton cycle. Such graphs are called Dirac graphs. Strengthening this result, we show the existence of rainbow Hamilton ...
• #### New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries ﻿

(2020-06-01)
Article
Open Access
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented ...