Georgi S. Medvedev - researchr alias

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Viewing Publication 1 - 20 from 20

2023

Bifurcations and Patterns in the Kuramoto Model with InertiaHayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara. jns, 33(5):78, October 2023. [doi]

2022

Stability and Bifurcation of Mixing in the Kuramoto Model with InertiaHayato Chiba, Georgi S. Medvedev. siamma, 54(2):1797-1819, 2022. [doi]

Sparse Monte Carlo Method for Nonlocal Diffusion ProblemsDmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev. siamnum, 60(6):3001-3028, 2022. [doi]

2020

The Kuramoto Model on Power Law Graphs: Synchronization and Contrast StatesGeorgi S. Medvedev, Xuezhi Tang. jns, 30(5):2405-2427, 2020. [doi]

2018

The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz LimitDmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev. siamma, 50(3):2441-2465, 2018. [doi]

2017

The Semilinear Heat Equation on Sparse Random GraphsDmitry S. Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev. siamma, 49(2):1333-1355, 2017. [doi]

Stability of Twisted States in the Continuum Kuramoto ModelGeorgi S. Medvedev, J. Douglas Wright. siamads, 16(1):188-203, 2017. [doi]

2015

Stability of Twisted States in the Kuramoto Model on Cayley and Random GraphsGeorgi S. Medvedev, Xuezhi Tang. jns, 25(6):1169-1208, 2015. [doi]

2014

The Nonlinear Heat Equation on Dense Graphs and Graph LimitsGeorgi S. Medvedev. siamma, 46(4):2743-2766, 2014. [doi]

2013

The Poincaré Map of Randomly Perturbed Periodic MotionPawel Hitczenko, Georgi S. Medvedev. jns, 23(5):835-861, 2013. [doi]

2012

Stochastic Stability of Continuous Time Consensus ProtocolsGeorgi S. Medvedev. siamco, 50(4):1859-1885, 2012. [doi]

Shaping bursting by electrical coupling and noiseGeorgi S. Medvedev, Svitlana Zhuravytska. bc, 106(2):67-88, 2012. [doi]

The Geometry of Spontaneous Spiking in Neuronal NetworksGeorgi S. Medvedev, Svitlana Zhuravytska. jns, 22(5):689-725, 2012. [doi]

2011

Synchronization of Coupled Limit CyclesGeorgi S. Medvedev. jns, 21(3):441-464, 2011. [doi]

2010

First return maps for the dynamics of synaptically coupled conditional burstersEvandro Manica, Georgi S. Medvedev, Jonathan E. Rubin. bc, 103(2):87-104, 2010. [doi]

2009

Bursting Oscillations Induced by Small NoisePawel Hitczenko, Georgi S. Medvedev. siamam, 69(5):1359-1392, 2009. [doi]

Electrical Coupling Promotes Fidelity of Responses in the Networks of Model NeuronsGeorgi S. Medvedev. neco, 21(11):3057-3078, 2009. [doi]

2003

Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic NeuronGeorgi S. Medvedev, C. J. Wilson, J. C. Callaway, Nancy Kopell. jcns, 15(1):53-69, 2003.

2001

Synchronization and Transient Dynamics in the Chains of Electrically Coupled Fitzhugh--Nagumo OscillatorsGeorgi S. Medvedev, Nancy Kopell. siamam, 61(5):1762-1801, 2001. [doi]

2000

A Reaction-Diffusion System with Periodic Front DynamicsGeorgi S. Medvedev, Nancy Kopell, Tasso J. Kaper. siamam, 60(5):1601-1638, 2000. [doi]

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