3 papers
math.DS2026
A new class of generalized ordinary differential equations with applications
Sylvia Novo, Rafael Obaya, Ana M. Sanz
The space of parametric b-measures endowed with appropriate topologies is introduced to define a new class of generalized ODEs given by parametric b-measures. This framework offers…
physics.ao-ph2025
Nonautonomous modelling in Energy Balance Models of climate. Limitations of averaging and climate sensitivity
Iacopo P. Longo, Rafael Obaya, Ana M. Sanz
Starting from a classical Budyko-Sellers-Ghil energy balance model for the average surface temperature of the Earth, a nonautonomous version is designed by allowing the solar irrad…
math.DS2024
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time
Iacopo P. Longo, Rafael Obaya, Ana M. Sanz
New results on the behaviour of the fast motion in slow-fast systems of ODEs with dependence on the fast time are given in terms of tracking of nonautonomous attractors. Under quit…