Georgi S. Medvedev

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

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

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

Georgi S. Medvedev, Matthew S. Mizuhara

CoRR, 2024

2023

Bifurcations and Patterns in the Kuramoto Model with Inertia.

Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara

J. Nonlinear Sci., October, 2023

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

Georgi S. Medvedev

CoRR, 2023

2022

Sparse Monte Carlo Method for Nonlocal Diffusion Problems.

Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev

SIAM J. Numer. Anal., 2022

Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia.

Hayato Chiba, Georgi S. Medvedev

SIAM J. Math. Anal., 2022

2020

The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States.

Georgi S. Medvedev, Xuezhi Tang

J. Nonlinear Sci., 2020

2018

The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit.

Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev

SIAM J. Math. Anal., 2018

2017

The Semilinear Heat Equation on Sparse Random Graphs.

Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev

SIAM J. Math. Anal., 2017

Stability of Twisted States in the Continuum Kuramoto Model.

Georgi S. Medvedev, J. Douglas Wright

SIAM J. Appl. Dyn. Syst., 2017

2015

Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs.

Georgi S. Medvedev, Xuezhi Tang

J. Nonlinear Sci., 2015

2014

The Nonlinear Heat Equation on Dense Graphs and Graph Limits.

Georgi S. Medvedev

SIAM J. Math. Anal., 2014

2013

The Poincaré Map of Randomly Perturbed Periodic Motion.

Pawel Hitczenko, Georgi S. Medvedev

J. Nonlinear Sci., 2013

2012

Stochastic Stability of Continuous Time Consensus Protocols.

Georgi S. Medvedev

SIAM J. Control. Optim., 2012

The Geometry of Spontaneous Spiking in Neuronal Networks.

Georgi S. Medvedev, Svitlana Zhuravytska

J. Nonlinear Sci., 2012

Shaping bursting by electrical coupling and noise.

Georgi S. Medvedev, Svitlana Zhuravytska

Biol. Cybern., 2012

2011

Synchronization of Coupled Limit Cycles.

Georgi S. Medvedev

J. Nonlinear Sci., 2011

2010

First return maps for the dynamics of synaptically coupled conditional bursters.

Evandro Manica, Georgi S. Medvedev, Jonathan E. Rubin

Biol. Cybern., 2010

2009

Bursting Oscillations Induced by Small Noise.

Pawel Hitczenko, Georgi S. Medvedev

SIAM J. Appl. Math., 2009

Electrical Coupling Promotes Fidelity of Responses in the Networks of Model Neurons.

Georgi S. Medvedev

Neural Comput., 2009

2003

Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron.

Georgi S. Medvedev, Charles J. Wilson, J. C. Callaway, Nancy Kopell

J. Comput. Neurosci., 2003

2001

Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo Oscillators.

Georgi S. Medvedev, Nancy Kopell

SIAM J. Appl. Math., 2001

2000

A Reaction-Diffusion System with Periodic Front Dynamics.

Georgi S. Medvedev, Nancy Kopell, Tasso J. Kaper

SIAM J. Appl. Math., 2000