Amadeu Delshams

2.1k total citations
59 papers, 1.1k citations indexed

About

Amadeu Delshams is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Amadeu Delshams has authored 59 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Statistical and Nonlinear Physics, 30 papers in Geometry and Topology and 21 papers in Mathematical Physics. Recurrent topics in Amadeu Delshams's work include Quantum chaos and dynamical systems (49 papers), Advanced Differential Equations and Dynamical Systems (22 papers) and Mathematical Dynamics and Fractals (17 papers). Amadeu Delshams is often cited by papers focused on Quantum chaos and dynamical systems (49 papers), Advanced Differential Equations and Dynamical Systems (22 papers) and Mathematical Dynamics and Fractals (17 papers). Amadeu Delshams collaborates with scholars based in Spain, United States and Russia. Amadeu Delshams's co-authors include Tere M. Seara, Rafael de la Llave, Ernest Fontich, L. Galgani, Carles Simó, Antonio Giorgilli, Gemma Huguet, Àngel Jorba, С. В. Гонченко and Pablo Roldán and has published in prestigious journals such as Communications in Mathematical Physics, Physica D Nonlinear Phenomena and Journal of Differential Equations.

In The Last Decade

Amadeu Delshams

55 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Amadeu Delshams Spain 19 966 451 364 214 137 59 1.1k
Luigi Chierchia Italy 18 734 0.8× 202 0.4× 109 0.3× 269 1.3× 77 0.6× 65 899
Holger R. Dullin United Kingdom 19 1.2k 1.3× 485 1.1× 339 0.9× 156 0.7× 90 0.7× 68 1.5k
N. N. Nekhoroshev Russia 9 579 0.6× 147 0.3× 103 0.3× 102 0.5× 87 0.6× 24 697
James Montaldi United Kingdom 14 342 0.4× 106 0.2× 245 0.7× 139 0.6× 73 0.5× 50 681
Vassili Gelfreich United Kingdom 17 650 0.7× 255 0.6× 233 0.6× 50 0.2× 155 1.1× 38 719
Sergey Bolotin Russia 14 414 0.4× 221 0.5× 185 0.5× 94 0.4× 40 0.3× 66 605
V. K. Mel’nikov Russia 13 1.5k 1.5× 331 0.7× 365 1.0× 55 0.3× 284 2.1× 23 1.7k
Alain Chenciner France 13 427 0.4× 110 0.2× 188 0.5× 406 1.9× 124 0.9× 32 841
Larry Bates Canada 12 395 0.4× 162 0.4× 249 0.7× 144 0.7× 20 0.1× 39 766
Pierre Lochak France 13 454 0.5× 272 0.6× 281 0.8× 36 0.2× 74 0.5× 36 745

Countries citing papers authored by Amadeu Delshams

Since Specialization
Citations

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

Fields of papers citing papers by Amadeu Delshams

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Amadeu Delshams

This figure shows the co-authorship network connecting the top 25 collaborators of Amadeu Delshams. A scholar is included among the top collaborators of Amadeu Delshams 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 Amadeu Delshams. Amadeu Delshams 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.
Delshams, Amadeu, et al.. (2019). Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 3 indexed citations
2.
Delshams, Amadeu, Antoni Guillamon, & Gemma Huguet. (2018). Quasiperiodic perturbations of heteroclinic attractor networks. Chaos An Interdisciplinary Journal of Nonlinear Science. 28(10). 103111–103111. 1 indexed citations
3.
Delshams, Amadeu, et al.. (2018). Arnold diffusion for a complete family of perturbations with two independent harmonics. QRU Quaderns de Recerca en Urbanisme. 4 indexed citations
4.
Delshams, Amadeu, et al.. (2017). An invitation to singular symplectic geometry. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 11 indexed citations
5.
Delshams, Amadeu, et al.. (2017). Shadowing of non-transversal heteroclinic chains. Journal of Differential Equations. 264(5). 3619–3663. 5 indexed citations
6.
Delshams, Amadeu, et al.. (2016). Examples of integrable and non-integrable systems on singular symplectic manifolds. Journal of Geometry and Physics. 115. 89–97. 18 indexed citations
7.
Delshams, Amadeu, Rafael de la Llave, & Tere M. Seara. (2016). Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion. Advances in Mathematics. 294. 689–755. 14 indexed citations
8.
Delshams, Amadeu, et al.. (2014). Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 21(0). 41–61. 5 indexed citations
9.
Delshams, Amadeu, et al.. (2012). Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 26 indexed citations
10.
Delshams, Amadeu & Gemma Huguet. (2011). A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems. Journal of Differential Equations. 250(5). 2601–2623. 11 indexed citations
11.
Delshams, Amadeu, et al.. (2008). Consideracions al voltant de la Funció Beta a l’obra de Leonhard Euler (1707-1783). 9. 59–82. 1 indexed citations
12.
Roldán, Pablo, Josep J. Masdemont, & Amadeu Delshams. (2008). Computing the scattering map in the spatial Hill's problem. Discrete and Continuous Dynamical Systems - B. 10(2/3, September). 455–483. 14 indexed citations
13.
Jorba, Àngel, Ernest Fontich, & Amadeu Delshams. (2008). Preface. Discrete and Continuous Dynamical Systems - B. 10(2/3, September). i–iii. 4 indexed citations
14.
Delshams, Amadeu, Rafael de la Llave, & Tere M. Seara. (2007). Geometric properties of the scattering map of a normally hyperbolic invariant manifold. Advances in Mathematics. 217(3). 1096–1153. 58 indexed citations
15.
Delshams, Amadeu, Rafael de la Llave, & Tere M. Seara. (2005). Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. Advances in Mathematics. 202(1). 64–188. 27 indexed citations
16.
Delshams, Amadeu, et al.. (2004). Pseudo-normal form near saddle-center or saddle-focus equilibria. Journal of Differential Equations. 208(2). 312–343. 6 indexed citations
17.
Delshams, Amadeu, et al.. (2000). Splitting Potential and the Poincaré-Melnikov Method for Whiskered Tori in Hamiltonian Systems. Journal of Nonlinear Science. 10(4). 433–476. 44 indexed citations
18.
Delshams, Amadeu & Arnau Mir. (1997). PSI-SERIES OF QUADRATIC VECTOR FIELDS ON THE PLANE. Publicacions Matemàtiques. 41(1). 101–125. 3 indexed citations
19.
Delshams, Amadeu, et al.. (1996). Estimates on Invariant Tori near an Elliptic Equilibrium Point of a Hamiltonian System. Journal of Differential Equations. 131(2). 277–303. 25 indexed citations
20.
Delshams, Amadeu, et al.. (1996). Effective Stability and KAM Theory. Journal of Differential Equations. 128(2). 415–490. 37 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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