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ORCIDGeorgi S. Medvedev
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2020 – today
- 2024
[i3]Georgi S. Medvedev, Matthew S. Mizuhara:
Harmonic maps from post-critically finite fractals to the circle. CoRR abs/2407.16817 (2024)- 2023
- [j20]Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara:
Bifurcations and Patterns in the Kuramoto Model with Inertia. J. Nonlinear Sci. 33(5): 78 (2023) - [i2]Georgi S. Medvedev:
Galerkin approximation of a nonlocal diffusion equation on Euclidean and fractal domains. CoRR abs/2306.15844 (2023) - 2022
- [j19]Hayato Chiba, Georgi S. Medvedev
:
Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia. SIAM J. Math. Anal. 54(2): 1797-1819 (2022) - [j18]Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev:
Sparse Monte Carlo Method for Nonlocal Diffusion Problems. SIAM J. Numer. Anal. 60(6): 3001-3028 (2022) - 2020
- [j17]Georgi S. Medvedev, Xuezhi Tang:
The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States. J. Nonlinear Sci. 30(5): 2405-2427 (2020)
2010 – 2019
- 2018
- [j16]Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev:
The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit. SIAM J. Math. Anal. 50(3): 2441-2465 (2018) - 2017
- [j15]Georgi S. Medvedev, J. Douglas Wright:
Stability of Twisted States in the Continuum Kuramoto Model. SIAM J. Appl. Dyn. Syst. 16(1): 188-203 (2017) - [j14]Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev:
The Semilinear Heat Equation on Sparse Random Graphs. SIAM J. Math. Anal. 49(2): 1333-1355 (2017) - 2015
- [j13]Georgi S. Medvedev, Xuezhi Tang:
Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs. J. Nonlinear Sci. 25(6): 1169-1208 (2015) - 2014
- [j12]Georgi S. Medvedev:
The Nonlinear Heat Equation on Dense Graphs and Graph Limits. SIAM J. Math. Anal. 46(4): 2743-2766 (2014) - 2013
- [j11]Pawel Hitczenko, Georgi S. Medvedev:
The Poincaré Map of Randomly Perturbed Periodic Motion. J. Nonlinear Sci. 23(5): 835-861 (2013) - 2012
- [j10]Georgi S. Medvedev, Svitlana Zhuravytska:
Shaping bursting by electrical coupling and noise. Biol. Cybern. 106(2): 67-88 (2012) - [j9]Georgi S. Medvedev, Svitlana Zhuravytska:
The Geometry of Spontaneous Spiking in Neuronal Networks. J. Nonlinear Sci. 22(5): 689-725 (2012) - [j8]Georgi S. Medvedev:
Stochastic Stability of Continuous Time Consensus Protocols. SIAM J. Control. Optim. 50(4): 1859-1885 (2012) - 2011
- [j7]Georgi S. Medvedev:
Synchronization of Coupled Limit Cycles. J. Nonlinear Sci. 21(3): 441-464 (2011) - 2010
- [j6]Evandro Manica, Georgi S. Medvedev, Jonathan E. Rubin:
First return maps for the dynamics of synaptically coupled conditional bursters. Biol. Cybern. 103(2): 87-104 (2010) - [i1]Georgi S. Medvedev:
Stochastic stability of continuous time consensus protocols. CoRR abs/1007.1234 (2010)
2000 – 2009
- 2009
- [j5]Georgi S. Medvedev:
Electrical Coupling Promotes Fidelity of Responses in the Networks of Model Neurons. Neural Comput. 21(11): 3057-3078 (2009) - [j4]Pawel Hitczenko, Georgi S. Medvedev:
Bursting Oscillations Induced by Small Noise. SIAM J. Appl. Math. 69(5): 1359-1392 (2009) - 2003
- [j3]Georgi S. Medvedev, Charles J. Wilson, J. C. Callaway, Nancy Kopell:
Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron. J. Comput. Neurosci. 15(1): 53-69 (2003) - 2001
- [j2]Georgi S. Medvedev, Nancy Kopell:
Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo Oscillators. SIAM J. Appl. Math. 61(5): 1762-1801 (2001) - 2000
- [j1]Georgi S. Medvedev, Nancy Kopell, Tasso J. Kaper:
A Reaction-Diffusion System with Periodic Front Dynamics. SIAM J. Appl. Math. 60(5): 1601-1638 (2000)
Coauthor Index
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