12 citations · 17 across the 10 of their papers we have counts for
11 papers
A new class of generalized ordinary differential equations with applications
Sylvia Novo, Iacopo P. Longo, Rafael Obaya +1
The paper presents a new approach to the study of precompact families of Carathéodory ODEs using techniques from nonautonomous dynamical systems, together with some applications.
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…
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…
Attractors In Almost Periodic Nicholson Systems And Some Numerical Simulations
Ana M. Sanz, Víctor M. Villarragut
The existence of a global attractor is proved for the skew-product semiflow induced by almost periodic Nicholson systems and new conditions are given for the existence of a unique…
The exponential ordering for non-autonomous delay systems with applications to compartmental Nycholson systems
Sylvia Novo, Rafael Obaya, Ana M. Sanz +1
The exponential ordering is exploited in the context of non-auto\-no\-mous delay systems, inducing monotone skew-product semiflows under less restrictive conditions than usual. Som…
Topologies of continuity for Carathéodory parabolic PDEs from a dynamical perspective
Iacopo P. Longo, Rafael Obaya, Ana M. Sanz
Systems of non-autonomous parabolic partial differential equations over a bounded domain with nonlinear term of Carathéodory type are considered. Appropriate topologies on sets of…
Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
Rafael Obaya, Ana Sanz
In this paper a family of non-autonomous scalar parabolic PDEs over a general compact and connected flow is considered. The existence or not of a neighbourhood of zero where the pr…
Forwards attraction properties in scalar non-autonomous linear dissipative parabolic PDEs. The case of null upper lyapunov exponent
José antonio langa, Rafael Obaya, Ana María Sanz
As it is well-known, the forwards and pullback dynamics are in general unrelated. In this paper we present an in-depth study of whether the pullback attractor is also a forwards at…
Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay
Rafael Obaya, Ana M. Sanz
This paper provides a dynamical frame to study non-autonomous parabolic partial differential equations with finite delay. Assuming monotonicity of the linearized semiflow, conditio…
Is uniform persisitence a robust property in almost periodic models? A well-behaved family: almost periodic Nicholson systems
Rafael Obaya, Ana M. Sanz
Using techniques of non-autonomous dynamical systems, we completely characterize the persistence properties of an almost periodic Nicholson system in terms of some numerically comp…
Asymptotic behaviour for a class of non-monotone delay differential systems with applications
Teresa Faria, Rafael Obaya, Ana M. Sanz
The paper concerns a class of -dimensional non-autonomous delay differential equations obtained by adding a non-monotone delayed perturbation to a linear homogeneous cooperative…