25 citations · 128 across the 27 of their papers we have counts for
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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…
Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations
Juan Campos, Carmen Nuñez, Rafael Obaya
The paper analyzes the structure and the inner long-term dynamics of the invariant compact sets for the skewproduct flow induced by a family of time-dependent ordinary differential…
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…
Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations
J. Dueñas, C. Núñez, R. Obaya
The global bifurcation diagrams for two different one-parametric perturbations ( and ) of a dissipative scalar nonautonomous ordinary differential equation …
Bifurcation Theory of Attractors and Minimal Sets in D-Concave Nonautonomous Scalar Ordinary Differential Equations
J. Dueñas, C. Núñez, R. Obaya
Two one-parametric bifurcation problems for scalar nonautonomous ordinary differential equations are analyzed assuming the coercivity of the time-dependent function determining the…