Georgi S. Medvedev

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 9

Top Topics

Image Smoothing

Monte Carlo Method

Top Venues

SIAM J. Math. Anal.

J. Nonlinear Sci.

SIAM J. Numer. Anal.

Publications

Georgi S. Medvedev, Matthew S. Mizuhara
Harmonic maps from post-critically finite fractals to the circle. CoRR (2024)
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
Bifurcations and Patterns in the Kuramoto Model with Inertia. J. Nonlinear Sci. 33 (5) (2023)
Georgi S. Medvedev
Galerkin approximation of a nonlocal diffusion equation on Euclidean and fractal domains. CoRR (2023)
Hayato Chiba, Georgi S. Medvedev
Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia. SIAM J. Math. Anal. 54 (2) (2022)
Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev
Sparse Monte Carlo Method for Nonlocal Diffusion Problems. SIAM J. Numer. Anal. 60 (6) (2022)
Georgi S. Medvedev, Xuezhi Tang
The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States. J. Nonlinear Sci. 30 (5) (2020)
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) (2018)
Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev
The Semilinear Heat Equation on Sparse Random Graphs. SIAM J. Math. Anal. 49 (2) (2017)
Georgi S. Medvedev, J. Douglas Wright
Stability of Twisted States in the Continuum Kuramoto Model. SIAM J. Appl. Dyn. Syst. 16 (1) (2017)
Georgi S. Medvedev, Xuezhi Tang
Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs. J. Nonlinear Sci. 25 (6) (2015)
Georgi S. Medvedev
The Nonlinear Heat Equation on Dense Graphs and Graph Limits. SIAM J. Math. Anal. 46 (4) (2014)
Pawel Hitczenko, Georgi S. Medvedev
The Poincaré Map of Randomly Perturbed Periodic Motion. J. Nonlinear Sci. 23 (5) (2013)
Georgi S. Medvedev, Svitlana Zhuravytska
Shaping bursting by electrical coupling and noise. Biol. Cybern. 106 (2) (2012)
Georgi S. Medvedev
Stochastic Stability of Continuous Time Consensus Protocols. SIAM J. Control. Optim. 50 (4) (2012)
Georgi S. Medvedev, Svitlana Zhuravytska
The Geometry of Spontaneous Spiking in Neuronal Networks. J. Nonlinear Sci. 22 (5) (2012)
Georgi S. Medvedev
Synchronization of Coupled Limit Cycles. J. Nonlinear Sci. 21 (3) (2011)
Evandro Manica, Georgi S. Medvedev, Jonathan E. Rubin
First return maps for the dynamics of synaptically coupled conditional bursters. Biol. Cybern. 103 (2) (2010)
Georgi S. Medvedev
Stochastic stability of continuous time consensus protocols. CoRR (2010)
Georgi S. Medvedev
Electrical Coupling Promotes Fidelity of Responses in the Networks of Model Neurons. Neural Comput. 21 (11) (2009)
Pawel Hitczenko, Georgi S. Medvedev
Bursting Oscillations Induced by Small Noise. SIAM J. Appl. Math. 69 (5) (2009)
Georgi S. Medvedev, C. 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) (2003)
Georgi S. Medvedev, Nancy Kopell
Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo Oscillators. SIAM J. Appl. Math. 61 (5) (2001)
Georgi S. Medvedev, Nancy Kopell, Tasso J. Kaper
A Reaction-Diffusion System with Periodic Front Dynamics. SIAM J. Appl. Math. 60 (5) (2000)