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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…