306 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidade do PortoPT174 papers
- University of CoimbraPT98 papers
- University of MinhoPT81 papers
- University of LisbonPT24 papers
- Centre National de la Recherche ScientifiqueFR22 papers
- Instituto Superior TécnicoPT22 papers
- UCLouvainBE13 papers
- Universidade Federal da BahiaBR13 papers
- Centro de Análise Matemática Geometria e Sistemas DinâmicosPT10 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR10 papers
- Universidad de La LagunaES9 papers
- Universidade Federal do Rio de JaneiroBR9 papers
347 papers
Topological synchronisation or a simple attractor?
Theophile Caby, Michele Gianfelice, Benoit Saussol +1
A few recent papers introduced the concept of topological synchronisation. We refer in particular to \cite{TS}, where the theory was illustrated by means of a skew product system,…
Non-connected Lie groups, twisted equivariant bundles and coverings
G. Barajas, O. García-Prada, P. B. Gothen +1
Let be a finite group acting on a Lie group . We consider a class of group extensions defined by this action and a -cocycle of with v…
A convenient gauge for virial identities in axial symmetry
Joao M. S. Oliveira, Alexandre M. Pombo
Virial identities are a useful mathematical tool in General Relativity. Not only have they been used as a numerical accuracy tool, but they have also played a significant role in e…
Deconstructing scaling virial identities in General Relativity: spherical symmetry and beyond
Carlos A. R. Herdeiro, João M. S. Oliveira, Alexandre M. Pombo +1
Derrick-type virial identities, obtained via dilatation (scaling) arguments, have a variety of applications in field theories. We deconstruct such virial identities in relativistic…
Primordial magnetic fields in theories of gravity with non-minimal coupling between curvature and matter
Orfeu Bertolami, Maria Margarida Lima, Filipe C. Mena
The existence of magnetic fields in the universe is unmistakable. They are observed at all scales from stars to galaxy clusters. However, the origin of these fields remains enigmat…
Dynamics of finite inhomogeneous particle systems with exclusion interaction
Vadim Malyshev, Mikhail Menshikov, Serguei Popov +1
We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to…
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
José F. Alves, Wael Bahsoun, Marks Ruziboev +1
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our techn…
Multiscale Partial Information Decomposition of Dynamic Processes with Short and Long-range correlations: Theory and Application to Cardiovascular Control
Helder Pinto, Riccardo Pernice, Maria Eduarda Silva +3
Heart rate variability results from the combined activity of several physiological systems, including the cardiac, vascular, and respiratory systems which have their own internal r…
Quasinormal modes and stability of boosted Reissner-Nordström AdS black holes
Rodrigo D. B. Fontana, Filipe C. Mena
We investigate the numerical stability of accelerated AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled sc…
Network Dynamics with Higher-Order Interactions: Coupled Cell Hypernetworks for Identical Cells and Synchrony
Manuela Aguiar, Christian Bick, Ana Dias
Network interactions that are nonlinear in the state of more than two nodes - also known as higher-order interactions - can have a profound impact on the collective network dynamic…
Synchrony in Gene Regulatory Networks
Manuela Aguiar, Ana Dias, Haibo Ruan
We consider two mathematical dynamical models of gene regulatory networks (GRNs) and obtain results on robust synchronization on these dynamical models based on the existing theore…
Persistent Strange attractors in 3D Polymatrix Replicators
Telmo Peixe, Alexandre A. Rodrigues
We introduce a one-parameter family of polymatrix replicators defined in a three-dimensional cube and study its bifurcations. For a given interval of parameters, this family exhibi…
Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces
David Alfaya, André Oliveira
Let be an algebraic Lie algebroid over a smooth projective curve of genus such that is a line bundle whose degree is less than…
Dissecting a resonance wedge on heteroclinic bifurcations
Alexandre A. P. Rodrigues
This article studies routes to chaos occurring within a resonance wedge for a 3-parametric family of differential equations acting on a 3-sphere. Our starting point is an autonomou…
Principal bundles on 2-dimensional CW-complexes with disconnected structure group
André Oliveira
Given any topological group , the topological classification of principal -bundles over a finite CW-complex is long-known to be given by the set of free homotopy classes…
Higher dimensional black hole scalarization
Dumitru Astefanesei, Carlos Herdeiro, João Oliveira +1
In the simplest scalar-tensor theories, wherein the scalar field is non-minimally coupled to the Ricci scalar, spontaneous scalarization of electrovacuum black holes (BHs) does not…
Holonomy theorem for finite semigroups
John Rhodes, Anne Schilling, Pedro V. Silva
We provide a simple proof of the Holonomy Theorem using a new Lyndon-Chiswell length function on the Karnofsky-Rhodes expansion of a semigroup. Unexpectedly, we have both a left an…
Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
Peter B. Gothen, Ronald A. Zúñiga-Rojas
We consider the problem of finding the limit at infinity (corresponding to the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural -action…
Thermodynamic formalism for random non-uniformly expanding maps
Manuel Stadlbauer, Shintaro Suzuki, Paulo Varandas
We develop a quenched thermodynamic formalism for a wide class of random maps with non-uniform expansion, where no Markov structure, no uniformly bounded degree or the existence of…
The spectrum of a localic semiring
Graham Manuell
A number of spectrum constructions have been devised to extract topological spaces from algebraic data. Prominent examples include the Zariski spectrum of a commutative ring, the S…
Stability of the Cauchy horizon in accelerating black-hole spacetimes
Kyriakos Destounis, Rodrigo D. B. Fontana, Filipe C. Mena
The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General…
Torus-breakdown near a Bykov attractor: a case study
Luísa Castro, Alexandre A. P. Rodrigues
There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. This paper reports numerical experiments performed f…
Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
Helena Albuquerque, Elisabete Barreiro, Saïd Benayadi +2
Oscillator Lie algebras are the only non commutative solvable Lie algebras which carry a bi-invariant Lorentzian metric. In this paper, we determine all the Poisson structures, and…
Leibniz superalgebras with a set grading
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
Consider a Leibniz superalgebra additionally graded by an arbitrary set (set grading). We show that decomposes as the sum of well-described graded i…