Georgi S. Medvedev

Orcid: 0000-0002-1626-6650

According to our database1, Georgi S. Medvedev authored at least 22 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Harmonic maps from post-critically finite fractals to the circle.
CoRR, 2024

2023
Bifurcations and Patterns in the Kuramoto Model with Inertia.
J. Nonlinear Sci., October, 2023

Galerkin approximation of a nonlocal diffusion equation on Euclidean and fractal domains.
CoRR, 2023

2022
Sparse Monte Carlo Method for Nonlocal Diffusion Problems.
SIAM J. Numer. Anal., 2022

Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia.
SIAM J. Math. Anal., 2022

2020
The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States.
J. Nonlinear Sci., 2020

2018
The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit.
SIAM J. Math. Anal., 2018

2017
The Semilinear Heat Equation on Sparse Random Graphs.
SIAM J. Math. Anal., 2017

Stability of Twisted States in the Continuum Kuramoto Model.
SIAM J. Appl. Dyn. Syst., 2017

2015
Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs.
J. Nonlinear Sci., 2015

2014
The Nonlinear Heat Equation on Dense Graphs and Graph Limits.
SIAM J. Math. Anal., 2014

2013
The Poincaré Map of Randomly Perturbed Periodic Motion.
J. Nonlinear Sci., 2013

2012
Stochastic Stability of Continuous Time Consensus Protocols.
SIAM J. Control. Optim., 2012

The Geometry of Spontaneous Spiking in Neuronal Networks.
J. Nonlinear Sci., 2012

Shaping bursting by electrical coupling and noise.
Biol. Cybern., 2012

2011
Synchronization of Coupled Limit Cycles.
J. Nonlinear Sci., 2011

2010
First return maps for the dynamics of synaptically coupled conditional bursters.
Biol. Cybern., 2010

2009
Bursting Oscillations Induced by Small Noise.
SIAM J. Appl. Math., 2009

Electrical Coupling Promotes Fidelity of Responses in the Networks of Model Neurons.
Neural Comput., 2009

2003
Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron.
J. Comput. Neurosci., 2003

2001
Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo Oscillators.
SIAM J. Appl. Math., 2001

2000
A Reaction-Diffusion System with Periodic Front Dynamics.
SIAM J. Appl. Math., 2000


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