Àlex Haro

1.1k total citations
37 papers, 669 citations indexed

About

Àlex Haro is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Àlex Haro has authored 37 papers receiving a total of 669 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Statistical and Nonlinear Physics, 19 papers in Mathematical Physics and 6 papers in Geometry and Topology. Recurrent topics in Àlex Haro's work include Quantum chaos and dynamical systems (30 papers), Mathematical Dynamics and Fractals (18 papers) and Nonlinear Waves and Solitons (7 papers). Àlex Haro is often cited by papers focused on Quantum chaos and dynamical systems (30 papers), Mathematical Dynamics and Fractals (18 papers) and Nonlinear Waves and Solitons (7 papers). Àlex Haro collaborates with scholars based in Spain, United States and Sweden. Àlex Haro's co-authors include Rafael de la Llave, Alejandro Luque, Joaquim Puig, Alejandro Luque, Josep–Maria Mondelo, Pedro Gomis‐Porqueras, Inmaculada Baldomá, Renato Calleja, Tomás Alarcón and Josep Sardanyés and has published in prestigious journals such as Physical Review Letters, Physica D Nonlinear Phenomena and Journal of Differential Equations.

In The Last Decade

Àlex Haro

33 papers receiving 598 citations

Peers

Àlex Haro

SNP

CNC

Gianni Arioli Italy

J. D. Mireles James United States

André Vanderbauwhede Belgium

Dmitry Treschev Russia

Валерий Васильевич Козлов Russia

Jürgen Scheurle Germany

Michele V. Bartuccelli United Kingdom

Roberto Conti Italy

A. A. Elmandouh Saudi Arabia

Stephen Schecter United States

Gianni Arioli Italy

Àlex Haro

302 ×0.6

SNP

285 ×1.4

145 ×1.3

111 ×1.0

CNC

70 ×0.8

Citations per year, relative to Àlex Haro Àlex Haro (= 1×) peers Gianni Arioli

Countries citing papers authored by Àlex Haro

Since Specialization

Citations

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

Fields of papers citing papers by Àlex Haro

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Àlex Haro

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

All Works

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20 of 20 papers shown

Haro, Àlex, et al.. (2025). Local nearby bifurcations lead to synergies in critical slowing down: The case of mushroom bifurcations. Physical review. E. 111(2). 24213–24213.

Haro, Àlex, et al.. (2025). A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems. Nonlinearity. 38(2). 25005–25005.

Calleja, Renato, et al.. (2025). Constructive approaches to QP-time-dependent KAM theory for Lagrangian tori in Hamiltonian systems. Journal of Differential Equations. 449. 113681–113681.

Haro, Àlex, et al.. (2024). Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem. Journal of Nonlinear Science. 35(1). 3 indexed citations

Haro, Àlex, et al.. (2024). Computer-assisted proofs of existence of fiberwise hyperbolic invariant tori in quasi-periodic systems via Fourier methods. Discrete and Continuous Dynamical Systems - B. 30(6). 2051–2072.

Haro, Àlex, et al.. (2024). Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems. SIAM Journal on Applied Dynamical Systems. 23(1). 127–166. 3 indexed citations

Haro, Àlex, et al.. (2024). Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method. SIAM Journal on Applied Dynamical Systems. 23(1). 98–126. 4 indexed citations

Calleja, Renato, et al.. (2021). Non-twist invariant circles in conformally symplectic systems. Communications in Nonlinear Science and Numerical Simulation. 96. 105695–105695. 3 indexed citations

Haro, Àlex, et al.. (2019). Effective bounds for the measure of rotations. Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona). 6 indexed citations

10.

Haro, Àlex, et al.. (2017). Computation of Quasiperiodic Normally Hyperbolic Invariant Tori: Rigorous Results. Journal of Nonlinear Science. 27(6). 1869–1904. 13 indexed citations

11.

Haro, Àlex, et al.. (2017). Computation of Quasi-Periodic Normally Hyperbolic Invariant Tori: Algorithms, Numerical Explorations and Mechanisms of Breakdown. Journal of Nonlinear Science. 27(6). 1829–1868. 21 indexed citations

12.

Haro, Àlex & Joaquim Puig. (2013). A Thouless formula and Aubry duality for long-range Schrödinger skew-products. Nonlinearity. 26(5). 1163–1187. 12 indexed citations

13.

Haro, Àlex, et al.. (2012). Reliable Computation of Robust Response Tori on the Verge of Breakdown. SIAM Journal on Applied Dynamical Systems. 11(2). 597–628. 15 indexed citations

14.

Gomis‐Porqueras, Pedro & Àlex Haro. (2009). A geometric description of a macroeconomic model with a center manifold. Journal of Economic Dynamics and Control. 33(6). 1217–1235. 1 indexed citations

15.

Haro, Àlex & Inmaculada Baldomá. (2008). One dimensional invariant manifolds of Gevrey type in real-analytic maps. Discrete and Continuous Dynamical Systems - B. 10(2/3, September). 295–322. 10 indexed citations

16.

Haro, Àlex & Rafael de la Llave. (2008). A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity. SIAM Journal on Imaging Sciences. 1(1). 142–142. 19 indexed citations

17.

Haro, Àlex & Rafael de la Llave. (2007). A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity. SIAM Journal on Applied Dynamical Systems. 6(1). 142–207. 61 indexed citations

18.

Haro, Àlex & Joaquim Puig. (2006). Strange nonchaotic attractors in Harper maps. Chaos An Interdisciplinary Journal of Nonlinear Science. 16(3). 33127–33127. 27 indexed citations

19.

Haro, Àlex & Rafael de la Llave. (2005). A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: Rigorous results. Journal of Differential Equations. 228(2). 530–579. 91 indexed citations

20.

Haro, Àlex. (2000). The primitive function of an exact symplectomorphism. Nonlinearity. 13(5). 1483–1500. 16 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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