RAFAEL
OBAYA GARCIA
CATEDRATICOS DE UNIVERSIDAD
Publications (110) RAFAEL OBAYA GARCIA publications
2024
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Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates
Nonlinearity, Vol. 37, Núm. 4
2023
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Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations
Journal of Differential Equations, Vol. 361, pp. 138-182
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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
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Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations
Journal of Dynamics and Differential Equations
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Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology
Chaos, Vol. 33, Núm. 12
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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
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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
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Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations
Journal of Differential Equations, Vol. 361, pp. 248-287
2022
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Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations
Journal of Dynamics and Differential Equations
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Monotone skew-Product Semiflows for Carathéodory Differential Equations and Applications
Journal of Dynamics and Differential Equations, Vol. 34, Núm. 4, pp. 2997-3033
2021
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Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
Journal of Differential Equations, Vol. 285, pp. 714-750
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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
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Asymptotic behavior of solutions of nonautonomous neutral dynamical systems
Nonlinear Analysis, Theory, Methods and Applications, Vol. 199
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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
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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
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Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type
Communications in Nonlinear Science and Numerical Simulation, Vol. 78
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Li-Yorke chaos in nonautonomous Hopf bifurcation patterns-I
Nonlinearity, Vol. 32, Núm. 10, pp. 3940-3980
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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
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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
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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