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Georgi S. Medvedev - Publications

Affiliations: 
Drexel University, Philadelphia, PA, United States 
Area:
Mathematics, Neuroscience Biology

30 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
2022 Medvedev GS, Mizuhara MS, Phillips A. A global bifurcation organizing rhythmic activity in a coupled network. Chaos (Woodbury, N.Y.). 32: 083116. PMID 36049909 DOI: 10.1063/5.0089946  0.388
2019 Medvedev GS. The continuum limit of the Kuramoto model on sparse random graphs Communications in Mathematical Sciences. 17: 883-898. DOI: 10.4310/Cms.2019.V17.N4.A1  0.339
2018 Chiba H, Medvedev GS, Mizuhara MS. Bifurcations in the Kuramoto model on graphs. Chaos (Woodbury, N.Y.). 28: 073109. PMID 30070519 DOI: 10.1063/1.5039609  0.594
2018 Kaliuzhnyi-Verbovetskyi D, Medvedev GS. The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit Siam Journal On Mathematical Analysis. 50: 2441-2465. DOI: 10.1137/17M1134007  0.422
2018 Medvedev GS, Tang X. The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States Journal of Nonlinear Science. 1-23. DOI: 10.1007/S00332-018-9489-3  0.606
2017 Kaliuzhnyi-Verbovetskyi D, Medvedev GS. The Semilinear Heat Equation on Sparse Random Graphs Siam Journal On Mathematical Analysis. 49: 1333-1355. DOI: 10.1137/16M1075831  0.51
2017 Medvedev GS, Wright JD. Stability of Twisted States in the Continuum Kuramoto Model Siam Journal On Applied Dynamical Systems. 16: 188-203. DOI: 10.1137/16M1059175  0.396
2015 Medvedev GS, Tang X. Synchronization of coupled chaotic maps Physica D: Nonlinear Phenomena. 304: 42-51. DOI: 10.1016/J.Physd.2015.05.002  0.56
2015 Medvedev GS, Tang X. Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs Journal of Nonlinear Science. 25: 1169-1208. DOI: 10.1007/S00332-015-9252-Y  0.44
2014 Medvedev GS. The Nonlinear Heat Equation on Dense Graphs and Graph Limits Siam Journal On Mathematical Analysis. 46: 2743-2766. DOI: 10.1137/130943741  0.521
2014 Medvedev GS. Small-world networks of Kuramoto oscillators Physica D: Nonlinear Phenomena. 266: 13-22. DOI: 10.1016/J.Physd.2013.09.008  0.564
2013 Hitczenko P, Medvedev GS. The PoincarĂ© map of randomly perturbed periodic motion Journal of Nonlinear Science. 23: 835-861. DOI: 10.1007/S00332-013-9170-9  0.366
2013 Medvedev GS. The Nonlinear Heat Equation on W-Random Graphs Archive For Rational Mechanics and Analysis. 212: 781-803. DOI: 10.1007/S00205-013-0706-9  0.454
2012 Medvedev GS, Zhuravytska S. Shaping bursting by electrical coupling and noise. Biological Cybernetics. 106: 67-88. PMID 22450571 DOI: 10.1007/S00422-012-0481-Y  0.59
2012 Medvedev GS. Stochastic Stability of Continuous Time Consensus Protocols Siam Journal On Control and Optimization. 50: 1859-1885. DOI: 10.1137/100801457  0.566
2012 Medvedev GS, Zhuravytska S. The Geometry of Spontaneous Spiking in Neuronal Networks Journal of Nonlinear Science. 22: 689-725. DOI: 10.1007/S00332-012-9125-6  0.592
2011 Medvedev GS. Synchronization and spontaneous dynamics in the Locus Coeruleus network Bmc Neuroscience. 12. DOI: 10.1186/1471-2202-12-S1-P219  0.778
2011 Medvedev GS. Synchronization of Coupled Limit Cycles Journal of Nonlinear Science. 21: 441-464. DOI: 10.1007/S00332-010-9088-4  0.462
2010 Manica E, Medvedev GS, Rubin JE. First return maps for the dynamics of synaptically coupled conditional bursters. Biological Cybernetics. 103: 87-104. PMID 20614222 DOI: 10.1007/S00422-010-0399-1  0.561
2010 Medvedev GS. Synchronization of coupled stochastic limit cycle oscillators Physics Letters A. 374: 1712-1720. DOI: 10.1016/J.Physleta.2010.02.031  0.704
2009 Medvedev GS. Electrical coupling promotes fidelity of responses in the networks of model neurons. Neural Computation. 21: 3057-78. PMID 19686068 DOI: 10.1162/Neco.2009.07-08-813  0.646
2009 Hitczenko P, Medvedev GS. Bursting oscillations induced by small noise Siam Journal On Applied Mathematics. 69: 1359-1392. DOI: 10.1137/070711803  0.449
2008 Medvedev GS, Yoo Y. Chaos at the border of criticality. Chaos (Woodbury, N.Y.). 18: 033105. PMID 19045443 DOI: 10.1063/1.2953586  0.337
2008 Medvedev G. Noise-induced bursting in stochastic models of single cells and electrically coupled ensembles Bmc Neuroscience. 9. DOI: 10.1186/1471-2202-9-S1-O5  0.539
2007 Medvedev G, Yoo Y. Multimodal oscillations in systems with strong contraction Physica D: Nonlinear Phenomena. 228: 87-106. DOI: 10.1016/J.Physd.2007.02.011  0.374
2006 Medvedev GS. Transition to bursting via deterministic chaos. Physical Review Letters. 97: 048102. PMID 16907614 DOI: 10.1103/Physrevlett.97.048102  0.353
2005 Medvedev GS. Reduction of a model of an excitable cell to a one-dimensional map Physica D: Nonlinear Phenomena. 202: 37-59. DOI: 10.1016/J.Physd.2005.01.021  0.338
2004 Medvedev GS, Cisternas JE. Multimodal regimes in a compartmental model of the dopamine neuron Physica D: Nonlinear Phenomena. 194: 333-356. DOI: 10.1016/J.Physd.2004.02.006  0.46
2003 Medvedev GS, Wilson CJ, Callaway JC, Kopell N. Dendritic synchrony and transient dynamics in a coupled oscillator model of the dopaminergic neuron. Journal of Computational Neuroscience. 15: 53-69. PMID 12843695 DOI: 10.1023/A:1024422802673  0.467
2001 Medvedev GS, Kopell N. Synchronization and transient dynamics in the chains of electrically coupled Fitzhugh-Nagumo oscillators Siam Journal On Applied Mathematics. 61: 1762-1801. DOI: 10.1137/S0036139900368807  0.466
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