10 citations · 11 across the 3 of their papers we have counts for
3 papers
math.DS2026
Averaging and tracking of local attractors in slowly varying systems with two time scales
Carmen Núñez, Rafael Obaya, Jorge Rodríguez
The paper analyzes to what extent the dynamics of a nonautonomous -dimensional dynamical system with two time scales, formulated in the slow time as $dx/dt=f(t/\varepsilon, t, x…
math.DS2023★ 1 cited
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates
Iacopo P. Longo, Carmen Núñez, Rafael Obaya
The global dynamics of a nonautonomous Carathéodory scalar ordinary differential equation , given by a function which is concave in , is determined by the existen…
math.DS2022★ 10 cited
Critical Transitions in D-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics
Jesús Dueñas, Carmen Núñez, Rafael Obaya
A function with finite asymptotic limits gives rise to a transition equation between a "past system" and a "future system". This question is analyzed in the case of nonautonomous c…