Rafael Obaya

1.2k total citations
84 papers, 754 citations indexed

About

Rafael Obaya is a scholar working on Control and Systems Engineering, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Rafael Obaya has authored 84 papers receiving a total of 754 indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Control and Systems Engineering, 34 papers in Applied Mathematics and 28 papers in Mathematical Physics. Recurrent topics in Rafael Obaya's work include Stability and Controllability of Differential Equations (47 papers), Nonlinear Differential Equations Analysis (30 papers) and Quantum chaos and dynamical systems (21 papers). Rafael Obaya is often cited by papers focused on Stability and Controllability of Differential Equations (47 papers), Nonlinear Differential Equations Analysis (30 papers) and Quantum chaos and dynamical systems (21 papers). Rafael Obaya collaborates with scholars based in Spain, Italy and China. Rafael Obaya's co-authors include Sylvia Novo, Carmen Núñez, Jialin Hong, Rafael de la Llave, Russell Johnson, Àngel Jorba, Joan Carles Tatjer, Randal Johnson, Roberta Fabbri and José A. Langa and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Physica D Nonlinear Phenomena and Transactions of the American Mathematical Society.

In The Last Decade

Rafael Obaya

79 papers receiving 662 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Rafael Obaya Spain 15 340 272 265 235 174 84 754
Alexandra Rodkina Jamaica 9 323 0.9× 81 0.3× 455 1.7× 153 0.7× 133 0.8× 36 849
Bernd Aulbach Germany 14 316 0.9× 171 0.6× 215 0.8× 109 0.5× 137 0.8× 45 631
Carmen Núñez Spain 11 135 0.4× 173 0.6× 92 0.3× 134 0.6× 68 0.4× 47 388
Yuri Latushkin United States 18 755 2.2× 276 1.0× 652 2.5× 559 2.4× 150 0.9× 75 1.3k
Sylvia Novo Spain 12 156 0.5× 123 0.5× 105 0.4× 118 0.5× 69 0.4× 32 331
Thai Son Doan Vietnam 15 213 0.6× 169 0.6× 220 0.8× 42 0.2× 176 1.0× 47 609
Bruno Scheurer France 7 397 1.2× 136 0.5× 226 0.9× 290 1.2× 267 1.5× 11 891
Krzysztof P. Rybakowski Germany 15 365 1.1× 217 0.8× 352 1.3× 296 1.3× 81 0.5× 67 845
Sergei Yu. Pilyugin Russia 17 180 0.5× 428 1.6× 125 0.5× 678 2.9× 107 0.6× 54 984
Andrej Zlatoš United States 17 132 0.4× 103 0.4× 462 1.7× 326 1.4× 83 0.5× 43 923

Countries citing papers authored by Rafael Obaya

Since Specialization
Citations

This map shows the geographic impact of Rafael Obaya's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Rafael Obaya with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Rafael Obaya more than expected).

Fields of papers citing papers by Rafael Obaya

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rafael Obaya. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Rafael Obaya. The network helps show where Rafael Obaya may publish in the future.

Co-authorship network of co-authors of Rafael Obaya

This figure shows the co-authorship network connecting the top 25 collaborators of Rafael Obaya. A scholar is included among the top collaborators of Rafael Obaya based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Rafael Obaya. Rafael Obaya is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Núñez, Carmen, et al.. (2025). Saddle–node bifurcations for concave in measure and d-concave in measure skewproduct flows with applications to population dynamics and circuits. Communications in Nonlinear Science and Numerical Simulation. 142. 108577–108577. 2 indexed citations
2.
Obaya, Rafael, et al.. (2024). Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time. Journal of Differential Equations. 414. 609–644. 1 indexed citations
3.
Núñez, Carmen, et al.. (2023). Generalized Pitchfork Bifurcations in D-Concave Nonautonomous Scalar Ordinary Differential Equations. Journal of Dynamics and Differential Equations. 36(4). 3125–3157. 3 indexed citations
4.
Campos, Juan, Carmen Núñez, & Rafael Obaya. (2023). Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations. Journal of Differential Equations. 361. 248–287. 7 indexed citations
5.
Novo, Sylvia, et al.. (2023). The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 154(2). 568–599. 1 indexed citations
6.
Núñez, Carmen, et al.. (2020). Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 2 indexed citations
7.
Novo, Sylvia, et al.. (2020). Asymptotic behavior of solutions of nonautonomous neutral dynamical systems. UVaDOC UVaDOC University of Valladolid Documentary Repository (University of Valladolid). 3 indexed citations
8.
Obaya, Rafael, et al.. (2018). Is uniform persistence a robust property in almost periodic models? A well-behaved family: almost periodic Nicholson systems. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 6 indexed citations
9.
Núñez, Carmen & Rafael Obaya. (2017). Non-Atkinson Perturbations of Nonautonomous Linear Hamiltonian Systems: Exponential Dichotomy and Nonoscillation. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas).
10.
Campos, Juan, Rafael Obaya, & Massimo Tarallo. (2016). Favard theory for the adjoint equation and Fredholm Alternative. Journal of Differential Equations. 262(2). 749–802. 6 indexed citations
11.
Núñez, Carmen, et al.. (2010). Minimal sets in monotone and sublinear skew-product semiflows II: Two-dimensional systems of differential equations. Journal of Differential Equations. 248(8). 1899–1925. 8 indexed citations
12.
Novo, Sylvia, et al.. (2009). Exponential Ordering for Nonautonomous Neutral Functional Differential Equations. SIAM Journal on Mathematical Analysis. 41(3). 1025–1053. 6 indexed citations
13.
Novo, Sylvia, et al.. (2006). Stability and extensibility results for abstract skew-product semiflows. Journal of Differential Equations. 235(2). 623–646. 25 indexed citations
14.
Novo, Sylvia, et al.. (2004). Attractor minimal sets for cooperative and strongly convex delay differential systems. Journal of Differential Equations. 208(1). 86–123. 15 indexed citations
15.
Hong, Jialin, et al.. (2000). Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞. Studia Mathematica. 138(2). 121–134. 5 indexed citations
16.
Hong, Jialin, et al.. (2000). Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences. Applied Mathematics Letters. 13(2). 131–137. 25 indexed citations
17.
Hong, Jialin, et al.. (1999). Existence of a class of ergodic solutions implies exponential trichotomy. Applied Mathematics Letters. 12(4). 43–45. 6 indexed citations
18.
Hong, Jialin, et al.. (1999). Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations. Applied Mathematics Letters. 12(1). 7–13. 7 indexed citations
19.
Novo, Sylvia, Carmen Núñez, & Rafael Obaya. (1998). Ergodic Properties and Rotation Number for Linear Hamiltonian Systems. Journal of Differential Equations. 148(1). 148–185. 17 indexed citations
20.
Núñez, Carmen & Rafael Obaya. (1996). Ergodic theory for the one-dimensional Jacobi operator. Studia Mathematica. 117(2). 149–171. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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