Ernest Fontich

1.8k total citations
51 papers, 1.1k citations indexed

About

Ernest Fontich is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Ernest Fontich has authored 51 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Statistical and Nonlinear Physics, 24 papers in Mathematical Physics and 24 papers in Geometry and Topology. Recurrent topics in Ernest Fontich's work include Quantum chaos and dynamical systems (33 papers), Advanced Differential Equations and Dynamical Systems (21 papers) and Mathematical Dynamics and Fractals (19 papers). Ernest Fontich is often cited by papers focused on Quantum chaos and dynamical systems (33 papers), Advanced Differential Equations and Dynamical Systems (21 papers) and Mathematical Dynamics and Fractals (19 papers). Ernest Fontich collaborates with scholars based in Spain, United States and Sweden. Ernest Fontich's co-authors include Rafael de la Llave, Xavier Cabré, Carles Simó, Inmaculada Baldomá, Josep Sardanyés, Amadeu Delshams, L. Galgani, Antonio Giorgilli, Yannick Sire and Ana Nunes and has published in prestigious journals such as Journal of Theoretical Biology, Physica D Nonlinear Phenomena and Physica A Statistical Mechanics and its Applications.

In The Last Decade

Ernest Fontich

50 papers receiving 984 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ernest Fontich Spain 17 797 308 283 183 154 51 1.1k
André Vanderbauwhede Belgium 14 394 0.5× 205 0.7× 131 0.5× 153 0.8× 227 1.5× 46 880
Àlex Haro Spain 13 528 0.7× 90 0.3× 204 0.7× 111 0.6× 78 0.5× 37 669
Mark Levi United States 20 686 0.9× 211 0.7× 205 0.7× 301 1.6× 60 0.4× 62 1.2k
James Murdock United States 11 461 0.6× 256 0.8× 71 0.3× 229 1.3× 78 0.5× 34 1.3k
Jeroen S. W. Lamb United Kingdom 15 759 1.0× 469 1.5× 193 0.7× 359 2.0× 76 0.5× 48 1.2k
Glen R. Hall United States 11 621 0.8× 237 0.8× 228 0.8× 242 1.3× 226 1.5× 21 993
V. K. Mel’nikov Russia 13 1.5k 1.8× 365 1.2× 331 1.2× 284 1.6× 55 0.4× 23 1.7k
Henk Broer Netherlands 27 1.6k 2.0× 491 1.6× 398 1.4× 716 3.9× 71 0.5× 98 2.0k
Rafael Ortega Spain 21 544 0.7× 527 1.7× 292 1.0× 108 0.6× 77 0.5× 129 1.6k
Tere M. Seara Spain 17 825 1.0× 520 1.7× 306 1.1× 173 0.9× 187 1.2× 57 1.1k

Countries citing papers authored by Ernest Fontich

Since Specialization
Citations

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

Fields of papers citing papers by Ernest Fontich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ernest Fontich

This figure shows the co-authorship network connecting the top 25 collaborators of Ernest Fontich. A scholar is included among the top collaborators of Ernest Fontich 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 Ernest Fontich. Ernest Fontich 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.
Fontich, Ernest, et al.. (2024). Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism. Journal of Nonlinear Science. 34(6). 1 indexed citations
2.
Fontich, Ernest, et al.. (2024). Functional Shift-Induced Degenerate Transcritical Neimark–Sacker Bifurcation in a Discrete Hypercycle. International Journal of Bifurcation and Chaos. 34(4). 1 indexed citations
3.
Baldomá, Inmaculada, et al.. (2020). Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions. QRU Quaderns de Recerca en Urbanisme. 3 indexed citations
4.
Baldomá, Inmaculada, et al.. (2020). Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters. QRU Quaderns de Recerca en Urbanisme. 5 indexed citations
5.
Fontich, Ernest, Rafael de la Llave, & Yannick Sire. (2015). Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices. Journal of Differential Equations. 259(6). 2180–2279. 6 indexed citations
6.
Baldomá, Inmaculada, Ernest Fontich, Marcel Guàrdia, & Tere M. Seara. (2012). Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results. Journal of Differential Equations. 253(12). 3304–3439. 22 indexed citations
7.
Fontich, Ernest, et al.. (2010). Dynamical systems on lattices with decaying interaction I: A functional analysis framework. Journal of Differential Equations. 250(6). 2838–2886. 4 indexed citations
8.
Sardanyés, Josep & Ernest Fontich. (2010). ON THE METAPOPULATION DYNAMICS OF AUTOCATALYSIS: EXTINCTION TRANSIENTS RELATED TO GHOSTS. International Journal of Bifurcation and Chaos. 20(4). 1261–1268. 10 indexed citations
9.
Sire, Yannick, Rafael de la Llave, & Ernest Fontich. (2009). A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. 16(0). 9–22. 9 indexed citations
10.
Fontich, Ernest, Rafael de la Llave, & Yannick Sire. (2009). Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions. Journal of Differential Equations. 246(8). 3136–3213. 32 indexed citations
11.
Jorba, Àngel, Ernest Fontich, & Amadeu Delshams. (2008). Preface. Discrete and Continuous Dynamical Systems - B. 10(2/3, September). i–iii. 4 indexed citations
12.
Fontich, Ernest, et al.. (2005). Invariant manifolds of dynamical systems close to a rotation: Transverse to the rotation axis. Journal of Differential Equations. 214(1). 128–155. 5 indexed citations
13.
Cabré, Xavier, Ernest Fontich, & Rafael de la Llave. (2005). The parameterization method for invariant manifolds III: overview and applications. Journal of Differential Equations. 218(2). 444–515. 165 indexed citations
14.
Fontich, Ernest, et al.. (2005). Invariant pre-foliations for non-resonant non-uniformly hyperbolic systems. Transactions of the American Mathematical Society. 358(3). 1317–1345. 4 indexed citations
15.
Baldomá, Inmaculada & Ernest Fontich. (2004). Exponentially small splitting of separatrices in a weakly hyperbolic case. Journal of Differential Equations. 210(1). 106–134. 6 indexed citations
16.
Fontich, Ernest, et al.. (2003). Invariant manifolds of maps close to a product of rotations: close to the rotation axis. Journal of Differential Equations. 191(2). 490–517. 4 indexed citations
17.
Fontich, Ernest, et al.. (2002). Hamiltonian systems with orbits covering densely submanifolds of small codimension. Nonlinear Analysis. 52(1). 315–327. 8 indexed citations
18.
Fontich, Ernest. (1995). Rapidly Forced Planar Vector Fields and Splitting of Separatrices. Journal of Differential Equations. 119(2). 310–335. 24 indexed citations
19.
Fontich, Ernest. (1993). Exponentially small upper bounds for the splitting of separatrices for high frequency periodic perturbations. Nonlinear Analysis. 20(6). 733–744. 17 indexed citations
20.
Fontich, Ernest. (1990). Transversal homoclinic points of a class of conservative diffeomorphisms. Journal of Differential Equations. 87(1). 1–27. 17 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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