Erik A. Martens

3.4k total citations · 2 hit papers
31 papers, 1.8k citations indexed

About

Erik A. Martens is a scholar working on Computer Networks and Communications, Biomedical Engineering and Statistical and Nonlinear Physics. According to data from OpenAlex, Erik A. Martens has authored 31 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Computer Networks and Communications, 12 papers in Biomedical Engineering and 11 papers in Statistical and Nonlinear Physics. Recurrent topics in Erik A. Martens's work include Nonlinear Dynamics and Pattern Formation (21 papers), Slime Mold and Myxomycetes Research (12 papers) and Neural dynamics and brain function (11 papers). Erik A. Martens is often cited by papers focused on Nonlinear Dynamics and Pattern Formation (21 papers), Slime Mold and Myxomycetes Research (12 papers) and Neural dynamics and brain function (11 papers). Erik A. Martens collaborates with scholars based in Germany, Denmark and Sweden. Erik A. Martens's co-authors include Oskar Hallatschek, Shashi Thutupalli, Antoine Fourrière, Steven H. Strogatz, Carlo R. Laing, Christian Bick, Ernest Barreto, Edward Ott, Paul So and Thomas M. Antonsen and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Genetics.

In The Last Decade

Erik A. Martens

28 papers receiving 1.8k citations

Hit Papers

Chimera states in mechanical oscillator networks 2013 2026 2017 2021 2013 2022 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Chimera states in mechanical oscillator networks
    2013 472 citations Erik A. Martens, Shashi Thutupalli et al. profile →
  2. The glymphatic system: Current understanding and modeling
    2022 193 citations Tomas Bohr, Poul G. Hjorth et al. iScience profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Erik A. Martens Germany 16 1.3k 616 520 519 187 31 1.8k
Hermann Riecke United States 23 1.0k 0.8× 135 0.2× 427 0.8× 556 1.1× 382 2.0× 83 1.8k
Aneta Koseska Germany 19 984 0.8× 161 0.3× 273 0.5× 812 1.6× 136 0.7× 40 1.7k
V. S. Zykov Germany 25 2.0k 1.6× 373 0.6× 306 0.6× 1.2k 2.3× 227 1.2× 88 2.4k
David Cai United States 28 393 0.3× 152 0.2× 736 1.4× 1.1k 2.2× 337 1.8× 106 2.3k
John K. Douglass United States 16 495 0.4× 51 0.1× 760 1.5× 1.1k 2.1× 457 2.4× 32 1.8k
Guillaume Grégoire France 16 772 0.6× 480 0.8× 113 0.2× 742 1.4× 16 0.1× 31 2.8k
Peter Jung United States 23 248 0.2× 71 0.1× 503 1.0× 458 0.9× 631 3.4× 59 2.1k
Bidesh K. Bera India 19 1.4k 1.1× 304 0.5× 860 1.7× 1.0k 2.0× 123 0.7× 38 1.6k
Denis S. Goldobin Russia 17 628 0.5× 70 0.1× 365 0.7× 558 1.1× 38 0.2× 81 1.0k
S. Balle Spain 33 1.1k 0.9× 83 0.1× 188 0.4× 738 1.4× 25 0.1× 164 3.6k

Countries citing papers authored by Erik A. Martens

Since Specialization
Citations

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

Fields of papers citing papers by Erik A. Martens

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Erik A. Martens. 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 Erik A. Martens. The network helps show where Erik A. Martens may publish in the future.

Co-authorship network of co-authors of Erik A. Martens

This figure shows the co-authorship network connecting the top 25 collaborators of Erik A. Martens. A scholar is included among the top collaborators of Erik A. Martens 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 Erik A. Martens. Erik A. Martens 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.
Martens, Erik A., et al.. (2025). Continuum limit of the adaptive Kuramoto model. Chaos An Interdisciplinary Journal of Nonlinear Science. 35(1). 1 indexed citations
2.
Martens, Erik A. & Christian Bick. (2025). Multiple timescale dynamics of network adaptation with constraints. Chaos An Interdisciplinary Journal of Nonlinear Science. 35(10).
3.
Martens, Erik A., et al.. (2024). Integrability of a Globally Coupled Complex Riccati Array: Quadratic Integrate-and-Fire Neurons, Phase Oscillators, and All in Between. Physical Review Letters. 132(5). 57201–57201. 10 indexed citations
4.
Klemm, Konstantin & Erik A. Martens. (2024). Non-local transitions and ground state switching in the self-organization of vascular networks. Chaos An Interdisciplinary Journal of Nonlinear Science. 34(12).
5.
Martens, Erik A., et al.. (2024). Co-evolutionary dynamics for two adaptively coupled Theta neurons. Chaos An Interdisciplinary Journal of Nonlinear Science. 34(11). 2 indexed citations
6.
Martens, Erik A., et al.. (2023). Complex dynamics in adaptive phase oscillator networks. Chaos An Interdisciplinary Journal of Nonlinear Science. 33(5). 12 indexed citations
7.
Tsaneva‐Atanasova, Krasimira, et al.. (2023). Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations. Frontiers research topics.
8.
Klemm, Konstantin & Erik A. Martens. (2023). Bifurcations in adaptive vascular networks: Toward model calibration. Chaos An Interdisciplinary Journal of Nonlinear Science. 33(9). 5 indexed citations
9.
Bohr, Tomas, Poul G. Hjorth, Sebastian C. Holst, et al.. (2022). The glymphatic system: Current understanding and modeling. iScience. 25(9). 104987–104987. 193 indexed citations breakdown →
10.
Hong, Hyunsuk & Erik A. Martens. (2022). First-order like phase transition induced by quenched coupling disorder. Chaos An Interdisciplinary Journal of Nonlinear Science. 32(6). 63125–63125. 5 indexed citations
11.
Burylko, Oleksandr, Erik A. Martens, & Christian Bick. (2022). Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators. Chaos An Interdisciplinary Journal of Nonlinear Science. 32(9). 93109–93109. 10 indexed citations
12.
Martens, Erik A., et al.. (2021). Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons. Chaos An Interdisciplinary Journal of Nonlinear Science. 31(2). 3 indexed citations
13.
Hong, Hyunsuk & Erik A. Martens. (2021). A two-frequency-two-coupling model of coupled oscillators. Chaos An Interdisciplinary Journal of Nonlinear Science. 31(8). 83124–83124. 3 indexed citations
14.
Călugăru, Dumitru, Jan Frederik Totz, Erik A. Martens, & Harald Engel. (2020). First-order synchronization transition in a large population of strongly coupled relaxation oscillators. Science Advances. 6(39). 28 indexed citations
15.
Postnov, Dmitry D., Donald J. Marsh, Dmitry E. Postnov, et al.. (2016). Modeling of Kidney Hemodynamics: Probability-Based Topology of an Arterial Network. PLoS Computational Biology. 12(7). e1004922–e1004922. 27 indexed citations
16.
Bick, Christian & Erik A. Martens. (2015). Controlling chimeras. New Journal of Physics. 17(3). 33030–33030. 72 indexed citations
17.
Olmi, Simona, Erik A. Martens, Shashi Thutupalli, & Alessandro Torcini. (2015). Intermittent chaotic chimeras for coupled rotators. Physical Review E. 92(3). 30901–30901. 70 indexed citations
18.
Martens, Erik A., Shinya Watanabe, & Tomas Bohr. (2012). Model for polygonal hydraulic jumps. Physical Review E. 85(3). 36316–36316. 25 indexed citations
19.
Martens, Erik A.. (2010). Bistable chimera attractors on a triangular network of oscillator populations. Physical Review E. 82(1). 16216–16216. 67 indexed citations
20.
Martens, Erik A., Carlo R. Laing, & Steven H. Strogatz. (2010). Solvable Model of Spiral Wave Chimeras. Physical Review Letters. 104(4). 44101–44101. 227 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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