25 citations · 190 across the 38 of their papers we have counts for
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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…
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type
Cinzia Elia, Ismael Maroto, Carmen Núñez +1
The analysis of the long-term behavior of the mathematical model of a neural network constitutes a suitable framework to develop new tools for the dynamical description of nonauton…
Li-Yorke chaos in nonautonomous Hopf bifurcation patterns - I
Carmen Núñez, Rafael Obaya
We analyze the characteristics of the global attractor of a type of dissipative nonautonomous dynamical systems in terms of the Sacker and Sell spectrum of its linear part. The mod…
Topologies of continuity for Carathéodory delay differential equations with applications in non-autonomous dynamics
Iacopo P. Longo, Sylvia Novo, Rafael Obaya
We study some already introduced and some new strong and weak topologies of integral type to provide continuous dependence on continuous initial data for the solutions of non-auton…