activity
20102026
most citedAbundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

46 citations · 62 across the 7 of their papers we have counts for

collaborators

7 papers

math.DS2026

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…

math.DS2024

Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures

Juan C. Muñoz-Sánchez, J. Tomás Lázaro, Julia Hillung +3

It is well known that, during replication, RNA viruses spontaneously generate defective viral genomes (DVGs). DVGs are unable to complete an infectious cycle autonomously, and depe…

math.DS2022

Semiclassical theory explains stochastic ghosts scaling

J. Tomás Lázaro, Tomás Alarcón, Carlos Peña +1

Slowing down phenomena occur in both deterministic and stochastic dynamical systems at the vicinity of phase transitions or bifurcations. An example is found in systems exhibiting…

math.DS2019★ 10 cited

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…

math.DS2014★ 5 cited

Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies

A. Delshams, M. S. Gonchenko, S. V. Gonchenko +1

We 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 n…

math.DS2012★ 46 cited

Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

A. Delshams, S. V. Gonchenko, V. S. Gonchenko +2

We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parame…

math.DS2010★ 1 cited

Upper bounds for the number of zeroes for some Abelian integrals

Armengol Gasull, J. Tomás Lázaro, Joan Torregrosa

Consider the vector field where the set of critical points is formed by straight lines, not passing through the origin and paral…