M.J. Álvarez

657 total citations
23 papers, 468 citations indexed

About

M.J. Álvarez is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Public Health, Environmental and Occupational Health. According to data from OpenAlex, M.J. Álvarez has authored 23 papers receiving a total of 468 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Geometry and Topology, 10 papers in Statistical and Nonlinear Physics and 6 papers in Public Health, Environmental and Occupational Health. Recurrent topics in M.J. Álvarez's work include Advanced Differential Equations and Dynamical Systems (20 papers), Quantum chaos and dynamical systems (8 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (6 papers). M.J. Álvarez is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (20 papers), Quantum chaos and dynamical systems (8 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (6 papers). M.J. Álvarez collaborates with scholars based in Spain, France and Switzerland. M.J. Álvarez's co-authors include Armengol Gasull, Johannes C. Schittny, Peter H. Burri, Sybill Patan, Xavier Jarque, R. Prohens, José Luis Bravo, Héctor Giacomini, Jiang Yu and Juan Carlos Álvarez and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and Nonlinear Analysis.

In The Last Decade

M.J. Álvarez

22 papers receiving 438 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
M.J. Álvarez Spain 11 318 177 85 72 69 23 468
M. Reyes Spain 11 236 0.7× 179 1.0× 37 0.4× 28 0.4× 19 0.3× 29 303
Shimin Li China 13 199 0.6× 120 0.7× 182 2.1× 29 0.4× 14 0.2× 52 438
Wen-Xin Qin China 10 40 0.1× 225 1.3× 13 0.2× 77 1.1× 9 0.1× 38 362
Bin Lü China 12 66 0.2× 385 2.2× 14 0.2× 164 2.3× 31 0.4× 42 774
Gerard J. Murphy Ireland 18 232 0.7× 34 0.2× 11 0.1× 311 4.3× 170 2.5× 61 1.1k
Hirofumi Osada Japan 16 29 0.1× 41 0.2× 29 0.3× 251 3.5× 194 2.8× 61 943
Stephen Baigent United Kingdom 11 57 0.2× 53 0.3× 108 1.3× 110 1.5× 9 0.1× 32 374
Shouming Zhou China 11 71 0.2× 222 1.3× 20 0.2× 38 0.5× 80 1.2× 60 354
Yutaka Ishii Japan 15 41 0.1× 154 0.9× 8 0.1× 262 3.6× 5 0.1× 41 825

Countries citing papers authored by M.J. Álvarez

Since Specialization
Citations

This map shows the geographic impact of M.J. Álvarez'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 M.J. Álvarez with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites M.J. Álvarez more than expected).

Fields of papers citing papers by M.J. Álvarez

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M.J. Álvarez. 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 M.J. Álvarez. The network helps show where M.J. Álvarez may publish in the future.

Co-authorship network of co-authors of M.J. Álvarez

This figure shows the co-authorship network connecting the top 25 collaborators of M.J. Álvarez. A scholar is included among the top collaborators of M.J. Álvarez 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 M.J. Álvarez. M.J. Álvarez 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.
Álvarez, M.J., et al.. (2021). Characterization of the Existence of Non-trivial Limit Cycles for Generalized Abel Equations. Qualitative Theory of Dynamical Systems. 20(1).
2.
Álvarez, M.J., B. Coll, Peter De Maesschalck, & R. Prohens. (2019). Asymptotic lower bounds on Hilbert numbers using canard cycles. Journal of Differential Equations. 268(7). 3370–3391. 5 indexed citations
3.
Álvarez, M.J., et al.. (2019). Alien limit cycles in Abel equations. Journal of Mathematical Analysis and Applications. 482(1). 123525–123525. 10 indexed citations
4.
Álvarez, M.J., Armengol Gasull, & R. Prohens. (2017). Global behaviour of the period function of the sum of two quasi-homogeneous vector fields. Journal of Mathematical Analysis and Applications. 449(2). 1553–1569. 2 indexed citations
5.
Álvarez, M.J., et al.. (2017). Centers and limit cycles for a family of Abel equations. Journal of Mathematical Analysis and Applications. 453(1). 485–501. 14 indexed citations
6.
Álvarez, M.J., et al.. (2014). Limit cycles for a class of quintic $\mathbb{Z}_6$-equivariant systems without infinite critical points. Bulletin of the Belgian Mathematical Society - Simon Stevin. 21(5). 1 indexed citations
7.
Álvarez, M.J., Armengol Gasull, & R. Prohens. (2012). Limit cycles for two families of cubic systems. Nonlinear Analysis. 75(18). 6402–6417. 4 indexed citations
8.
Álvarez, M.J., et al.. (2011). Local behavior of planar analytic vector fields via integrability. Journal of Mathematical Analysis and Applications. 385(1). 264–277. 3 indexed citations
9.
Álvarez, M.J., et al.. (2011). Abel-like differential equations with a unique limit cycle. Nonlinear Analysis. 74(11). 3694–3702. 5 indexed citations
10.
Álvarez, M.J., et al.. (2011). A SURVEY ON THE BLOW UP TECHNIQUE. International Journal of Bifurcation and Chaos. 21(11). 3103–3118. 73 indexed citations
11.
Álvarez, M.J., Armengol Gasull, & R. Prohens. (2010). Topological classification of polynomial complex differential equations with all the critical points of centre type. The Journal of Difference Equations and Applications. 16(5-6). 411–423. 9 indexed citations
12.
Álvarez, M.J., et al.. (2009). Uniqueness of limit cycles for polynomial first-order differential equations. Journal of Mathematical Analysis and Applications. 360(1). 168–189. 10 indexed citations
13.
Álvarez, M.J., Armengol Gasull, & Jiang Yu. (2008). Lower bounds for the number of limit cycles of trigonometric Abel equations. Journal of Mathematical Analysis and Applications. 342(1). 682–693. 15 indexed citations
14.
Pérez-Vázquez, Paz, et al.. (2008). Evaluation of Benign Paroxysmal Positional Vertigo in Primary Health-Care and First Level Specialist Care. Acta Otorrinolaringologica (English Edition). 59(6). 277–282. 12 indexed citations
15.
Pérez-Vázquez, Paz, et al.. (2008). Valoración del conocimiento del vértigo posicional paroxístico benigno en la atención primaria y especializada de primer nivel. Acta Otorrinolaringológica Española. 59(6). 277–282. 7 indexed citations
16.
Álvarez, M.J., Armengol Gasull, & R. Prohens. (2008). Configurations of critical points in complex polynomial differential equations. Nonlinear Analysis. 71(3-4). 923–934. 8 indexed citations
17.
Álvarez, M.J., Armengol Gasull, & R. Prohens. (2006). On the number of limit cycles of some systems on the cylinder. Bulletin des Sciences Mathématiques. 131(7). 620–637. 3 indexed citations
18.
Álvarez, M.J., Armengol Gasull, & Héctor Giacomini. (2006). A new uniqueness criterion for the number of periodic orbits of Abel equations. Journal of Differential Equations. 234(1). 161–176. 36 indexed citations
19.
Álvarez, M.J. & Armengol Gasull. (2005). Generating limit cycles from a nilpotent critical point via normal forms. Journal of Mathematical Analysis and Applications. 318(1). 271–287. 61 indexed citations
20.
Patan, Sybill, M.J. Álvarez, Johannes C. Schittny, & Peter H. Burri. (1992). Intussusceptive Microvascular Growth: A Common Alternative to Capillary Sprouting.. Archives of Histology and Cytology. 55(Suppl). 65–75. 103 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by M. Reyes Breakdown of academic impact, for papers by Shimin Li Breakdown of academic impact, for papers by Wen-Xin Qin Breakdown of academic impact, for papers by Bin Lü Breakdown of academic impact, for papers by Gerard J. Murphy Breakdown of academic impact, for papers by Hirofumi Osada Breakdown of academic impact, for papers by Stephen Baigent Breakdown of academic impact, for papers by Shouming Zhou Breakdown of academic impact, for papers by Yutaka Ishii
Rankless by CCL
2026