184 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universitat Politècnica de CatalunyaES76 papers
- Universitat de BarcelonaES63 papers
- Centre de Recerca MatemàticaES40 papers
- Universitat Autònoma de BarcelonaES40 papers
- Institució Catalana de Recerca i Estudis AvançatsES26 papers
- Complexity Science HubAT12 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- Institut de Mécanique Céleste et de Calcul des ÉphéméridesFR9 papers
- Sorbonne UniversitéFR9 papers
- Consejo Superior de Investigaciones CientíficasES8 papers
- Institute of Mathematical SciencesIN8 papers
- Observatoire de ParisFR8 papers
24 papers · 1 filter
Multiscale feedback drives viral evolution and epidemic dynamics
Juan C. Muñoz-Sánchez, J. Tomás Lázaro, Josep Sardanyés +1
We introduce a minimal multiscale framework that links within-host virus dynamics to population-level SIRS epidemiology through explicit, bidirectional coupling. At the microscopic…
The periodic orbit conjecture for steady Euler flows
Robert Cardona
The periodic orbit conjecture states that, on closed manifolds, the set of lengths of the orbits of a non-vanishing vector field all whose orbits are closed admits an upper bound.…
Flow map parameterization methods for invariant tori in Hamiltonian systems
Alex Haro, Josep-Maria Mondelo
The goal of this paper is to present a methodology for the computation of invariant tori in Hamiltonian systems combining flow map methods, parameterization methods, and symplectic…
Constructing Turing complete Euler flows in dimension
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
Can every physical system simulate any Turing machine? This is a classical problem which is intimately connected with the undecidability of certain physical phenomena. Concerning f…
Normal forms and Sternberg conjugation theorems for infinite dimensional coupled map lattices
Ruben Berenguel, Ernest Fontich
In this paper we present local Sternberg conjugation theorems near attracting fixed points for lattice systems. The interactions are spatially decaying and are not restricted to fi…
Non-twist tori in conformally symplectic systems
Renato Calleja, Marta Canadell, Alex Haro
Dissipative mechanical systems on the torus with a friction that is proportional to the velocity are modeled by conformally symplectic maps on the annulus, which are maps that tran…
Steady Euler flows and Beltrami fields in high dimensions
Robert Cardona
Using open books, we prove the existence of a non-vanishing steady solution to the Euler equations for some metric in every homotopy class of non-vanishing vector fields of any odd…
Host-virus evolutionary dynamics with specialist and generalist infection strategies: bifurcations, bistability and chaos
Anel Nurtay, Matthew G. Hennessy, Lluís Alsedà +2
In this work we have investigated the evolutionary dynamics of a generalist pathogen, e.g. a virus population, that evolves towards specialisation in an environment with multiple h…
Universality of Euler flows and flexibility of Reeb embeddings
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global exis…
Dynamics in a time-discrete food-chain model with strong pressure on preys
Lluís Alsedà, José Tomás Lázaro, Ricard Solé +2
Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be govern…
Hopf-Zero singularities truly unfold chaos
I. Baldomá, S. Ibáñez, T. M. Seara
We provide conditions to guarantee the occurrence of Shilnikov bifurcations in analytic unfoldings of some Hopf-Zero singularities through a beyond all order phenomenon: the expone…
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
A. Pérez-Cervera, P. Ashwin, G. Huguet +2
We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter uncouples the system at . Using a normal form…
Global dynamics of the real secant method
Antonio Garijo, Xavier Jarque
We investigate the root finding algorithm given by the secant method applied to a real polynomial as a discrete dynamical system defined on . We study the shape an…
Whiskered parabolic tori in the planar -body problem
Inmaculada Baldoma, Ernest Fontich, Pau Martin
The planar -body problem models the motion of bodies in the plane under their mutual Newtonian gravitational attraction forces. When , the question about final…
Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing
E. Fontich, C. Simó, A. Vieiro
We consider the effect of a non-autonomous periodic perturbation on a 2-dof autonomous system obtained as a truncation of the Hamiltonian-Hopf normal form. Our analysis focuses on…
A geometric approach to Phase Response Curves and its numerical computation through the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
The Phase Response Curve (PRC) is a tool used in neuroscience that measures the phase shift experienced by an oscillator due to a perturbation applied at different phases of the li…
Singularities of inner functions associated with hyperbolic maps
Vasiliki Evdoridou, Núria Fagella, Xavier Jarque +1
Let be a function in the Eremenko-Lyubich class , and let be an unbounded, forward invariant Fatou component of . We relate the number of singularities of a…
Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems
A. Bolsinov, V. Matveev, E. Miranda +1
The 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…
Fatou components and singularities of meromorphic functions
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We prove several results concerning the relative position of points in the postsingular set of a meromorphic map and the boundary of a Baker domain or the successive ite…
Stable components in the parameter plane of transcendental functions of finite type
Nuria Fagella, Linda Keen
We study the parameter planes of certain one-dimensional, dynamically-defined slices of holomorphic families of entire and meromorphic transcendental maps of finite type. Our plane…
Escaping points in the boundaries of Baker domains
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We study the dynamical behaviour of points in the boundaries of simply connected invariant Baker domains of meromorphic maps with a finite degree on . We prove that if $…
The Fine Structure of Herman Rings
Núria Fagella, Christian Henriksen
We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3. Shishikura's quasiconformal surgery relates the Herman ring to…
Accesses to infinity from Fatou components
Krzysztof Barański, Núria Fagella, Xavier Jarque +1
We study the boundary behaviour of a meromorphic map on its invariant simply connected Fatou component . To this aim, we develop the theor…
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers
Jaume Llibre, Daniel Peralta-Salas
We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous result…