Browsing by Author "Lázaro Ochoa, José Tomás"
Now showing items 1-20 of 32
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A pseudo-normal form for planar vector fields
(2001)
Article
Open Access -
Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
(2013-01-01)
Article
Open AccessWe study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle fixed points. We consider one-parameter families of reversible maps unfolding ... -
Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
(2012-01-12)
Research report
Open AccessAbstract. We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of reversible ... -
Breathers in a model of a polymer with secondary structure
(2002)
Article
Open Access -
Càlcul numèric : manual de pràctiques
(Universitat Politècnica de Catalunya, 2014)
Practice
Open Access -
Càlcul numèric. Manual de pràctiques
(2014-07)
Research report
Open Access -
Critical slowing down close to a global bifurcation of a curve of quasi-neutral equilibria
(2022-01)
Article
Open AccessCritical slowing down arises close to bifurcations and involves long transients. Despite slowing down phenomena have been widely studied in local bifurcations i.e., bifurcations of equilibrium points, less is known about ... -
Decay of HCoV-OC43 infectivity is lower in cell debris-containing media than in fresh culture media
(2024-02-16)
Article
Open AccessIn the quantitative description of viral dynamics within cell cultures and, more broadly, in modeling within-host viral infections, a question that commonly arises is whether the degradation of a fraction of the virus could ... -
Differential galois theory and non-integrability of planar polynomial vector fields
(2018-02-26)
Article
Restricted access - publisher's policyWe study a necessary condition for the integrability of the polynomials vector fields in the plane by means of the differential Galois Theory. More concretely, by means of the variational equations around a particular ... -
Dynamics and bifurcations in a simple quasispecies model of tumorigenesis
(2015-05-18)
Article
Open AccessCancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behavior, ... -
Dynamics in a time-discrete food-chain model with strong pressure on preys
(2020-05-01)
Article
Open AccessDiscrete-time dynamics, mainly arising in boreal and temperate ecosystems for species with non-overlapping generations, have been largely studied to understand the dynamical outcomes due to changes in relevant ecological ... -
Effective stability in reversible systems
(1997)
Article
Open AccessIn this paper we present a procedure to put in normal form a nearly-integrable reversible system, not necessarily a Hamiltonian system. Furthermore, non-resonant stability estimates are obtained. As an application we discuss ... -
Full analysis of small hypercycles with short-circuits in prebiotic evolution
(2017-01-05)
Article
Open AccessIt is known that hypercycles are sensitive to the so-called parasites and short-circuits. While the impact of parasites has been widely investigated for well-mixed and spatial hypercycles, the effect of short-circuits in ... -
Mixed dynamics in reversible maps with gure-8 homoclinic connections
(2014)
Conference report
Open AccessWe study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of rev ersible maps unfolding ... -
Mixed dynamics of two-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies
(American Institute of Mathematical Sciences, 2018-09)
Article
Open AccessWe study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed point with an asymmetric pair of nontransversal homoclinic orbits (a symmetric nontransversal homoclinic figure-8). We ... -
No two without three: modelling dynamics of the trio RNA virus-defective interfering genomes-satellite RNAs
(2024-03)
Article
Open AccessAlmost all viruses, regardless of their genomic material, produce defective viral genomes (DVG) as an unavoidable byproduct of their error-prone replication. Defective interfering (DI) elements are a subgroup of DVGs that ... -
On dynamics and invariant sets in predator-prey maps
(2019-11-27)
Part of book or chapter of book
Open AccessA multitude of physical, chemical, or biological systems evolving in discrete time can be modelled and studied using difference equations (or iterative maps). Here we discuss local and global dynamics for a predator-prey ... -
On Normal Forms and Splitting of Separatrices in Reversible Systems
(Universitat Politècnica de Catalunya, 2003-10-23)
Doctoral thesis
Open AccessÉs difícil dibuixar una frontera, dins la Teoria de Sistemas Dinàmics, entre lleis de conservació i simetries doncs, sovint, les seves característiques es confonen. Un clar exemple d'aquest fenómen el constitueixen els ... -
On the Chebyshev property for a new family of functions
(2012-03)
Article
Open Access -
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
(2012-01-12)
Research report
Open AccessWe study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results ...
