A Reaction-Diffusion System with Periodic Front Dynamics. - Georgi S. Medvedev; Nancy Kopell; Tasso J. Kaper (SIAM J. Appl. Math., 2000)

Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh–Nagumo Oscillators. - Georgi S. Medvedev; Nancy Kopell (SIAM J. Appl. Math., 2001)

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)

Electrical Coupling Promotes Fidelity of Responses in the Networks of Model Neurons. - Georgi S. Medvedev (Neural Comput., 2009)

Bursting Oscillations Induced by Small Noise. - Pawel Hitczenko; Georgi S. Medvedev (SIAM J. Appl. Math., 2009)

First return maps for the dynamics of synaptically coupled conditional bursters. - Evandro Manica; Georgi S. Medvedev; Jonathan E. Rubin (Biol. Cybern., 2010)

Synchronization of Coupled Limit Cycles. - Georgi S. Medvedev (J. Nonlinear Sci., 2011)

Shaping bursting by electrical coupling and noise. - Georgi S. Medvedev; Svitlana Zhuravytska (Biol. Cybern., 2012)

The Geometry of Spontaneous Spiking in Neuronal Networks. - Georgi S. Medvedev; Svitlana Zhuravytska (J. Nonlinear Sci., 2012)

Stochastic Stability of Continuous Time Consensus Protocols. - Georgi S. Medvedev (SIAM J. Control. Optim., 2012)

The Poincaré Map of Randomly Perturbed Periodic Motion. - Pawel Hitczenko; Georgi S. Medvedev (J. Nonlinear Sci., 2013)

The Nonlinear Heat Equation on Dense Graphs and Graph Limits. - Georgi S. Medvedev (SIAM J. Math. Anal., 2014)

Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs. - Georgi S. Medvedev; Xuezhi Tang (J. Nonlinear Sci., 2015)

Stability of Twisted States in the Continuum Kuramoto Model. - Georgi S. Medvedev; J. Douglas Wright (SIAM J. Appl. Dyn. Syst., 2017)

The Semilinear Heat Equation on Sparse Random Graphs. - Dmitry S. Kaliuzhnyi-Verbovetskyi; Georgi S. Medvedev (SIAM J. Math. Anal., 2017)

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)

The Kuramoto Model on Power Law Graphs: Synchronization and Contrast States. - Georgi S. Medvedev; Xuezhi Tang (J. Nonlinear Sci., 2020)

Stability and Bifurcation of Mixing in the Kuramoto Model with Inertia. - Hayato Chiba; Georgi S. Medvedev (SIAM J. Math. Anal., 2022)

Sparse Monte Carlo Method for Nonlocal Diffusion Problems. - Dmitry S. Kaliuzhnyi-Verbovetskyi; Georgi S. Medvedev (SIAM J. Numer. Anal., 2022)

Galerkin approximation of a nonlocal diffusion equation on Euclidean and fractal domains. - Georgi S. Medvedev (CoRR, 2023)

Bifurcations and Patterns in the Kuramoto Model with Inertia. - Hayato Chiba; Georgi S. Medvedev; Matthew S. Mizuhara (J. Nonlinear Sci., 2023)

Harmonic maps from post-critically finite fractals to the circle. - Georgi S. Medvedev; Matthew S. Mizuhara (CoRR, 2024)

Turing Bifurcation in the Swift-Hohenberg Equation on Deterministic and Random Graphs. - Georgi S. Medvedev; Dmitry E. Pelinovsky (J. Nonlinear Sci., 2024)