Georgi S. Medvedev

24 papers Journal 24
YearRankTypeTitle / Venue / Authors
2024 J jnl
Harmonic maps from post-critically finite fractals to the circle.
CoRR
Georgi S. Medvedev, Matthew S. Mizuhara
2024 J jnl
Turing Bifurcation in the Swift-Hohenberg Equation on Deterministic and Random Graphs.
J. Nonlinear Sci.
Georgi S. Medvedev, Dmitry E. Pelinovsky
2023 J jnl
Bifurcations and Patterns in the Kuramoto Model with Inertia.
J. Nonlinear Sci.
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
2023 J jnl
Galerkin approximation of a nonlocal diffusion equation on Euclidean and fractal domains.
CoRR
Georgi S. Medvedev
2022 J jnl
Sparse Monte Carlo Method for Nonlocal Diffusion Problems.
SIAM J. Numer. Anal.
Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev
2022 J jnl
Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia.
SIAM J. Math. Anal.
Hayato Chiba, Georgi S. Medvedev
2020 J jnl
The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States.
J. Nonlinear Sci.
Georgi S. Medvedev, Xuezhi Tang
2018 J jnl
The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit.
SIAM J. Math. Anal.
Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev
2017 J jnl
Stability of Twisted States in the Continuum Kuramoto Model.
SIAM J. Appl. Dyn. Syst.
Georgi S. Medvedev, J. Douglas Wright
2017 J jnl
The Semilinear Heat Equation on Sparse Random Graphs.
SIAM J. Math. Anal.
Dmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev
2015 J jnl
Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs.
J. Nonlinear Sci.
Georgi S. Medvedev, Xuezhi Tang
2014 J jnl
The Nonlinear Heat Equation on Dense Graphs and Graph Limits.
SIAM J. Math. Anal.
Georgi S. Medvedev
2013 J jnl
The Poincaré Map of Randomly Perturbed Periodic Motion.
J. Nonlinear Sci.
Pawel Hitczenko, Georgi S. Medvedev
2012 J jnl
Shaping bursting by electrical coupling and noise.
Biol. Cybern.
Georgi S. Medvedev, Svitlana Zhuravytska
2012 J jnl
Stochastic Stability of Continuous Time Consensus Protocols.
SIAM J. Control. Optim.
Georgi S. Medvedev
2012 J jnl
The Geometry of Spontaneous Spiking in Neuronal Networks.
J. Nonlinear Sci.
Georgi S. Medvedev, Svitlana Zhuravytska
2011 J jnl
Synchronization of Coupled Limit Cycles.
J. Nonlinear Sci.
Georgi S. Medvedev
2010 J jnl
First return maps for the dynamics of synaptically coupled conditional bursters.
Biol. Cybern.
Evandro Manica, Georgi S. Medvedev, Jonathan E. Rubin
2010 J jnl
Stochastic stability of continuous time consensus protocols.
CoRR
Georgi S. Medvedev
2009 J jnl
Bursting Oscillations Induced by Small Noise.
SIAM J. Appl. Math.
Pawel Hitczenko, Georgi S. Medvedev
2009 J jnl
Electrical Coupling Promotes Fidelity of Responses in the Networks of Model Neurons.
Neural Comput.
Georgi S. Medvedev
2003 J jnl
Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron.
J. Comput. Neurosci.
Georgi S. Medvedev, Charles J. Wilson, J. C. Callaway, Nancy Kopell
2001 J jnl
Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo Oscillators.
SIAM J. Appl. Math.
Georgi S. Medvedev, Nancy Kopell
2000 J jnl
A Reaction-Diffusion System with Periodic Front Dynamics.
SIAM J. Appl. Math.
Georgi S. Medvedev, Nancy Kopell, Tasso J. Kaper