Publicaciones (110) Publicaciones de RAFAEL OBAYA GARCIA

2024

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

    Nonlinearity, Vol. 37, Núm. 4

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. 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

  6. 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

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

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

2022

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

    Journal of Dynamics and Differential Equations

  2. 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

2019

  1. Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type

    Communications in Nonlinear Science and Numerical Simulation, Vol. 78

  2. Li-Yorke chaos in nonautonomous Hopf bifurcation patterns-I

    Nonlinearity, Vol. 32, Núm. 10, pp. 3940-3980

  3. Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation

    Journal of Dynamics and Differential Equations, Vol. 31, Núm. 3, pp. 1397-1426

  4. Persistence in non-autonomous quasimonotone parabolic partial functional differential equations with delay

    Discrete and Continuous Dynamical Systems - Series B, Vol. 24, Núm. 8, pp. 3947-3970

  5. Topologies of continuity for Carathéodory delay differential equations with applications in non-autonomous dynamics

    Discrete and Continuous Dynamical Systems- Series A, Vol. 39, Núm. 9, pp. 5491-5520