Héctor Giacomini

2.4k total citations
96 papers, 1.6k citations indexed

About

Héctor Giacomini is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Condensed Matter Physics. According to data from OpenAlex, Héctor Giacomini has authored 96 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Geometry and Topology, 46 papers in Statistical and Nonlinear Physics and 20 papers in Condensed Matter Physics. Recurrent topics in Héctor Giacomini's work include Advanced Differential Equations and Dynamical Systems (50 papers), Quantum chaos and dynamical systems (31 papers) and Theoretical and Computational Physics (17 papers). Héctor Giacomini is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (50 papers), Quantum chaos and dynamical systems (31 papers) and Theoretical and Computational Physics (17 papers). Héctor Giacomini collaborates with scholars based in France, Spain and Argentina. Héctor Giacomini's co-authors include Jaume Llibre, Jaume Giné, J. Chavarriga, Armengol Gasull, Sébastien Neukirch, H. T. Diep, Maite Grau, P. Azaria, B. Boisseau and Isaac A. García and has published in prestigious journals such as Physical Review Letters, Physical review. B, Condensed matter and Nuclear Physics B.

In The Last Decade

Héctor Giacomini

93 papers receiving 1.5k citations

Peers

Héctor Giacomini
Richard Cushman Netherlands
Ovidiu Costin United States
Eduard Zehnder Switzerland
Igor Frenkel United States
D. Levi Italy
Eugène Gutkin United States
Héctor Giacomini
Citations per year, relative to Héctor Giacomini Héctor Giacomini (= 1×) peers C.-M. Viallet

Countries citing papers authored by Héctor Giacomini

Since Specialization
Citations

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

Fields of papers citing papers by Héctor Giacomini

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Héctor Giacomini. 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 Héctor Giacomini. The network helps show where Héctor Giacomini may publish in the future.

Co-authorship network of co-authors of Héctor Giacomini

This figure shows the co-authorship network connecting the top 25 collaborators of Héctor Giacomini. A scholar is included among the top collaborators of Héctor Giacomini 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 Héctor Giacomini. Héctor Giacomini 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.
Gasull, Armengol & Héctor Giacomini. (2023). Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves. Qualitative Theory of Dynamical Systems. 22(2). 1 indexed citations
2.
García, Isaac A., Héctor Giacomini, Jaume Giné, & Jaume Llibre. (2016). Analytic nilpotent centers as limits of nondegenerate centers revisited. Journal of Mathematical Analysis and Applications. 441(2). 893–899. 24 indexed citations
3.
Giacomini, Héctor & Maite Grau. (2015). Transversal conics and the existence of limit cycles. Journal of Mathematical Analysis and Applications. 428(1). 563–586. 7 indexed citations
4.
Gasull, Armengol, et al.. (2013). Bifurcation diagram and stability for a one-parameter family of planar vector fields. Journal of Mathematical Analysis and Applications. 413(1). 321–342. 7 indexed citations
5.
Gasull, Armengol, et al.. (2013). A proof of Perkoʼs conjectures for the Bogdanov–Takens system. Journal of Differential Equations. 255(9). 2655–2671. 7 indexed citations
6.
Giacomini, Héctor, et al.. (2011). Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems. Applied Mathematics Letters. 24(7). 1115–1119. 2 indexed citations
7.
García, Isaac A., Héctor Giacomini, & Maite Grau. (2010). The inverse integrating factor and the Poincaré map. Transactions of the American Mathematical Society. 362(7). 3591–3612. 25 indexed citations
8.
Gasull, Armengol, Héctor Giacomini, & Joan Torregrosa. (2010). Some results on homoclinic and heteroclinic connections in planar systems. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 12 indexed citations
9.
Giacomini, Héctor, et al.. (2010). A new dynamical approach of Emden-Fowler equations and systems. Advances in Differential Equations. 15(11/12). 26 indexed citations
10.
Grau, Maite, Héctor Giacomini, & Armengol Gasull. (2008). On the stability of periodic orbits for differential systems in $\mathbb{R}^n$. Discrete and Continuous Dynamical Systems - B. 10(2/3, September). 495–509. 2 indexed citations
11.
Gasull, Armengol, Héctor Giacomini, & Joan Torregrosa. (2006). Explicit non-algebraic limit cycles for polynomial systems. Journal of Computational and Applied Mathematics. 200(1). 448–457. 23 indexed citations
12.
Giacomini, Héctor, Jaume Giné, & Jaume Llibre. (2006). The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems. Journal of Differential Equations. 227(2). 406–426. 76 indexed citations
13.
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
14.
Giacomini, Héctor. (2005). The role of algebraic solutions in planar polynomial differential systems. 9 indexed citations
15.
Chavarriga, J., Héctor Giacomini, & Jaume Llibre. (2001). Uniqueness of Algebraic Limit Cycles for Quadratic Systems. Journal of Mathematical Analysis and Applications. 261(1). 85–99. 30 indexed citations
16.
Chavarriga, J., Héctor Giacomini, Jaume Giné, & Jaume Llibre. (1999). On the Integrability of Two-Dimensional Flows. Journal of Differential Equations. 157(1). 163–182. 106 indexed citations
17.
Giacomini, Héctor & Sébastien Neukirch. (1999). Comment on “Liénard systems, limit cycles, and Melnikov theory”. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 59(2). 2483–2484. 4 indexed citations
18.
Giacomini, Héctor, et al.. (1997). THE NULL DIVERGENCE FACTOR. Publicacions Matemàtiques. 41(1). 41–56. 11 indexed citations
19.
Giacomini, Héctor & Malick Ndiaye. (1996). New sufficient conditions for a center and global phase portraits for polynomial systems. Publicacions Matemàtiques. 40. 351–372. 5 indexed citations
20.
Giacomini, Héctor. (1985). Exact results for a checkerboard Ising model with crossing and four-spin interactions. Journal of Physics A Mathematical and General. 18(17). L1087–L1093. 7 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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