Publicaciones (115) Publicaciones de RAFAEL OBAYA GARCIA

2025

  1. Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time

    Journal of Differential Equations, Vol. 414, pp. 609-644

2024

  1. Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology

    Journal of Nonlinear Science, Vol. 34, Núm. 105

  2. Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology

    Journal of Nonlinear Science, Vol. 34, Núm. 6

  3. Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations

    Journal of Dynamics and Differential Equations, Vol. 36, Núm. 3, pp. 2153-2192

  4. Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates

    Nonlinearity, Vol. 37, Núm. 4

  5. New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors

    Nonlinearity, Vol. 37, Núm. 10

2023

  1. Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations

    Journal of Differential Equations, Vol. 361, pp. 138-182

  2. Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics

    SIAM Journal on Applied Dynamical Systems, Vol. 22, Núm. 4, pp. 2649-2692

  3. Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations

    Journal of Dynamics and Differential Equations

  4. Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology

    Chaos, Vol. 33, Núm. 12

  5. Structure of non-autonomous attractors for a class of diffusively coupled ODE

    Discrete and Continuous Dynamical Systems - B, Vol. 28, Núm. 1, pp. 426-448

  6. TOPOLOGIES OF CONTINUITY FOR CARATHÉODORY PARABOLIC PDES FROM A DYNAMICAL PERSPECTIVE

    Discrete and Continuous Dynamical Systems- Series A, Vol. 43, Núm. 6, pp. 2213-2240

  7. The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 262

  8. Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations

    Journal of Differential Equations, Vol. 361, pp. 248-287

2022

  1. Monotone skew-Product Semiflows for Carathéodory Differential Equations and Applications

    Journal of Dynamics and Differential Equations, Vol. 34, Núm. 4, pp. 2997-3033

2021

  1. Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow

    Journal of Differential Equations, Vol. 285, pp. 714-750

  2. Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics

    SIAM Journal on Applied Dynamical Systems, Vol. 20, Núm. 1, pp. 500-540

2020

  1. Asymptotic behavior of solutions of nonautonomous neutral dynamical systems

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 199

  2. Forwards attraction properties in scalar non-autonomous linear-dissipative parabolic PDEs. The case of null upper Lyapunov exponent

    Nonlinearity, Vol. 33, Núm. 9, pp. 4277-4309

  3. Lyapunov exponents and oseledets decomposition in random dynamical systems generated by systems of delay differential equations

    Communications on Pure and Applied Analysis, Vol. 19, Núm. 4, pp. 2235-2255