Erik A. Martens, Ph.D. - Publications

Affiliations: 
2009 Cornell University, Ithaca, NY, United States 
Area:
Mathematics, Theory Physics, General Biophysics

23 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2023 Jüttner B, Martens EA. Complex dynamics in adaptive phase oscillator networks. Chaos (Woodbury, N.Y.). 33. PMID 37133924 DOI: 10.1063/5.0133190  0.318
2022 Gkogkas MA, Jüttner B, Kuehn C, Martens EA. Graphop mean-field limits and synchronization for the stochastic Kuramoto model. Chaos (Woodbury, N.Y.). 32: 113120. PMID 36456312 DOI: 10.1063/5.0094009  0.336
2022 Burylko O, Martens EA, Bick C. Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators. Chaos (Woodbury, N.Y.). 32: 093109. PMID 36182374 DOI: 10.1063/5.0088465  0.38
2022 Hong H, Martens EA. First-order like phase transition induced by quenched coupling disorder. Chaos (Woodbury, N.Y.). 32: 063125. PMID 35778126 DOI: 10.1063/5.0078431  0.305
2021 Hong H, Martens EA. A two-frequency-two-coupling model of coupled oscillators. Chaos (Woodbury, N.Y.). 31: 083124. PMID 34470243 DOI: 10.1063/5.0056844  0.352
2020 Călugăru D, Totz JF, Martens EA, Engel H. First-order synchronization transition in a large population of strongly coupled relaxation oscillators. Science Advances. 6. PMID 32967828 DOI: 10.1126/sciadv.abb2637  0.353
2020 Bick C, Goodfellow M, Laing CR, Martens EA. Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Journal of Mathematical Neuroscience. 10: 9. PMID 32462281 DOI: 10.1186/S13408-020-00086-9  0.394
2019 Deschle N, Daffertshofer A, Battaglia D, Martens EA. Directed Flow of Information in Chimera States Frontiers in Applied Mathematics and Statistics. 5. DOI: 10.3389/Fams.2019.00028  0.359
2019 Martens EA, Klemm K. Cyclic Structure Induced by Load Fluctuations in Adaptive Transportation Networks European Consortium For Mathematics in Industry. 147-155. DOI: 10.1007/978-3-030-27550-1_19  0.35
2018 Bick C, Panaggio MJ, Martens EA. Chaos in Kuramoto oscillator networks. Chaos (Woodbury, N.Y.). 28: 071102. PMID 30070510 DOI: 10.1063/1.5041444  0.444
2017 Martens EA, Klemm K. Transitions from Trees to Cycles in Adaptive Flow Networks Frontiers in Physics. 5. DOI: 10.3389/Fphy.2017.00062  0.347
2016 Martens EA, Bick C, Panaggio MJ. Chimera states in two populations with heterogeneous phase-lag. Chaos (Woodbury, N.Y.). 26: 094819. PMID 27781471 DOI: 10.1063/1.4958930  0.466
2016 Postnov DD, Marsh DJ, Postnov DE, Braunstein TH, Holstein-Rathlou NH, Martens EA, Sosnovtseva O. Modeling of Kidney Hemodynamics: Probability-Based Topology of an Arterial Network. Plos Computational Biology. 12: e1004922. PMID 27447287 DOI: 10.1371/Journal.Pcbi.1004922  0.3
2016 Martens EA, Panaggio MJ, Abrams DM. Basins of attraction for chimera states New Journal of Physics. 18. DOI: 10.1088/1367-2630/18/2/022002  0.573
2015 Olmi S, Martens EA, Thutupalli S, Torcini A. Intermittent chaotic chimeras for coupled rotators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 92: 030901. PMID 26465413 DOI: 10.1103/Physreve.92.030901  0.575
2015 Bick C, Martens EA. Controlling chimeras New Journal of Physics. 17. DOI: 10.1088/1367-2630/17/3/033030  0.329
2014 Kuehn C, Martens EA, Romero DM. Critical transitions in social network activity Journal of Complex Networks. 2: 141-152. DOI: 10.1093/Comnet/Cnt022  0.333
2013 Martens EA, Thutupalli S, Fourrière A, Hallatschek O. Chimera states in mechanical oscillator networks. Proceedings of the National Academy of Sciences of the United States of America. 110: 10563-7. PMID 23759743 DOI: 10.1073/Pnas.1302880110  0.473
2012 Martens EA, Watanabe S, Bohr T. Model for polygonal hydraulic jumps. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 036316. PMID 22587189 DOI: 10.1103/Physreve.85.036316  0.312
2010 Martens EA. Chimeras in a network of three oscillator populations with varying network topology. Chaos (Woodbury, N.Y.). 20: 043122. PMID 21198092 DOI: 10.1063/1.3499502  0.415
2010 Martens EA. Bistable chimera attractors on a triangular network of oscillator populations. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 016216. PMID 20866716 DOI: 10.1103/Physreve.82.016216  0.451
2010 Martens EA, Laing CR, Strogatz SH. Solvable model of spiral wave chimeras. Physical Review Letters. 104: 044101. PMID 20366714 DOI: 10.1103/Physrevlett.104.044101  0.548
2009 Martens EA, Barreto E, Strogatz SH, Ott E, So P, Antonsen TM. Exact results for the Kuramoto model with a bimodal frequency distribution. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 79: 026204. PMID 19391817 DOI: 10.1103/Physreve.79.026204  0.577
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