25 citations · 190 across the 38 of their papers we have counts for
4 papers · 1 filter
New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors
Jose Antonio Langa, Rafael Obaya, Alexandre N. Oliveira-Sousa
In this work we study nonuniform exponential dichotomies and existence of pullback and forward attractors for evolution processes associated to nonautonomous differential equations…
Critical transitions in piecewise uniformly continuous concave quadratic ordinary differential equations
Iacopo P. Longo, Carmen Núñez, Rafael Obaya
A critical transition for a system modelled by a concave quadratic scalar ordinary differential equation occurs when a small variation of the coefficients changes dramatically the…
Rate-induced tipping and saddle-node bifurcation for a class of quadratic differential equations with nonautonomous asymptotic dynamics
Iacopo P. Longo, Carmen Núñez, Rafael Obaya +1
An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations , where and $p\colon…
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…