W. de Melo

703 total citations
16 papers, 287 citations indexed

About

W. de Melo is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, W. de Melo has authored 16 papers receiving a total of 287 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Mathematical Physics, 13 papers in Statistical and Nonlinear Physics and 7 papers in Geometry and Topology. Recurrent topics in W. de Melo's work include Mathematical Dynamics and Fractals (14 papers), Quantum chaos and dynamical systems (9 papers) and Chaos control and synchronization (5 papers). W. de Melo is often cited by papers focused on Mathematical Dynamics and Fractals (14 papers), Quantum chaos and dynamical systems (9 papers) and Chaos control and synchronization (5 papers). W. de Melo collaborates with scholars based in Brazil, Netherlands and United States. W. de Melo's co-authors include Sebastian van Strien, Marco Martens, Alberto A. Pinto, B. F. Svaiter, Freddy Dumortier and Charles Tresser and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

W. de Melo

15 papers receiving 245 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
W. de Melo Brazil	10	225	175	124	32	31	16	287
Ľubomír Snoha Slovakia	11	349 1.6×	153 0.9×	190 1.5×	54 1.7×	26 0.8×	33	374
Vı́tor Araújo Brazil	9	220 1.0×	188 1.1×	67 0.5×	5 0.2×	35 1.1×	31	265
Krerley Oliveira Brazil	8	129 0.6×	78 0.4×	37 0.3×	17 0.5×	11 0.4×	17	179
Andrés Navas Chile	10	292 1.3×	65 0.4×	269 2.2×	40 1.3×	8 0.3×	33	339
Alec Norton United States	9	120 0.5×	28 0.2×	91 0.7×	52 1.6×	4 0.1×	18	270
Bodil Branner Denmark	6	299 1.3×	106 0.6×	236 1.9×	43 1.3×	5 0.2×	11	361
Yonatan Gutman Poland	9	195 0.9×	39 0.2×	123 1.0×	80 2.5×	6 0.2×	26	220
В. И. Берник Belarus	7	227 1.0×	21 0.1×	129 1.0×	47 1.5×	9 0.3×	29	280
Kyounghee Kim United States	8	97 0.4×	29 0.2×	132 1.1×	12 0.4×	37 1.2×	21	226

Countries citing papers authored by W. de Melo

Since Specialization

Citations

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

Fields of papers citing papers by W. de Melo

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by W. de Melo. 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 W. de Melo. The network helps show where W. de Melo may publish in the future.

Co-authorship network of co-authors of W. de Melo

This figure shows the co-authorship network connecting the top 25 collaborators of W. de Melo. A scholar is included among the top collaborators of W. de Melo 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 W. de Melo. W. de Melo is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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16 of 16 papers shown

Melo, W. de. (2011). Renormalization in one-dimensional dynamics. The Journal of Difference Equations and Applications. 17(8). 1185–1197. 5 indexed citations

Martens, Marco, et al.. (2008). Chaotic period doubling. Ergodic Theory and Dynamical Systems. 29(2). 381–418. 4 indexed citations

Melo, W. de & Alberto A. Pinto. (1999). Rigidity of C 2 Infinitely Renormalizable Unimodal Maps. Communications in Mathematical Physics. 208(1). 91–105. 12 indexed citations

Melo, W. de. (1997). On the cyclicity of recurrent flows on surfaces. Nonlinearity. 10(2). 311–319. 2 indexed citations

Melo, W. de & B. F. Svaiter. (1996). The cost of computing integers. Proceedings of the American Mathematical Society. 124(5). 1377–1378. 10 indexed citations

Martens, Marco, W. de Melo, & Sebastian van Strien. (1992). Julia-Fatou-Sullivan theory for real one-dimensional dynamics. Acta Mathematica. 168(0). 273–318. 81 indexed citations

Melo, W. de & Sebastian van Strien. (1989). A Structure Theorem in One Dimensional Dynamics. Annals of Mathematics. 129(3). 519–519. 52 indexed citations

Melo, W. de & Freddy Dumortier. (1988). A type of moduli for saddle connections of planar diffeomorphisms. Journal of Differential Equations. 75(1). 88–102. 4 indexed citations

Melo, W. de & Sebastian van Strien. (1988). One-dimensional dynamics: The Schwarzian derivative and beyond. Bulletin of the American Mathematical Society. 18(2). 159–162. 18 indexed citations

10.

Melo, W. de. (1987). A finiteness problem for one-dimensional maps. Proceedings of the American Mathematical Society. 101(4). 721–727. 9 indexed citations

11.

Melo, W. de & Sebastian van Strien. (1987). Diffeomorphisms on surfaces with a finite number of moduli. Ergodic Theory and Dynamical Systems. 7(3). 415–462. 22 indexed citations

12.

Melo, W. de, et al.. (1985). Equivariant diffeomorphisms with simple recurrences on two-manifolds. Transactions of the American Mathematical Society. 289(2). 793–807.

13.

Melo, W. de. (1980). Moduli of stability of two-dimensional diffeomorphisms. Topology. 19(1). 9–21. 19 indexed citations

14.

Melo, W. de. (1976). On the structure of the pareto set of generic mappings. Bulletin of the Brazilian Mathematical Society New Series. 7(2). 121–126. 11 indexed citations

15.

Melo, W. de. (1976). Stability and optimization of several functions. Topology. 15(1). 1–12. 6 indexed citations

16.

Melo, W. de. (1973). Structural stability of diffeomorphisms on two-manifolds. Inventiones mathematicae. 21(3). 233–246. 32 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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