Georgi Medvedev
Associate Professor
Department of Mathematics
Drexel University
3141 Chestnut Street
Philadelphia, PA 19104
phone: (215) 895-6612
fax: (215) 895-1582
email: medvedev@drexel.edu
Office: 292, Korman Center
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Georgi Medvedev Associate Professor Department of Mathematics Drexel University 3141 Chestnut Street Philadelphia, PA 19104 phone: (215) 895-6612 fax: (215) 895-1582 email: medvedev@drexel.edu Office: 292, Korman Center |
Georgi Medvedev recieved Ph.D. in Mathematics from Boston University in 1999. Before coming to Drexel University in 2002, he was a Veblen Research Instructor at Princeton University and at the Institute for Advanced Study.
Dr. Medvedev teaches courses at all levels. He developed an interdisciplinary graduate course MATH 723 Mathematical Neuroscience.
He serves on the editorial board of Discrete and Continous Dynamical Systems (Series B) .
Summer Research Experience for Undergraduates
MATH 311: Probability and Statistics I
Dr. Medvedev's research interests include dynamical systems, network science, and mathematical biology. He is interested in combinatorial and stochastic aspects of network dynamics and synchronization; effects of noise on dynamics of nonlinear systems; and applications to neuroscience . Part of his work was motivated by experimental observations and computational modeling of biological systems including Proteus mirabilis bacterial colonies, midbrain dopamine neurons, and Locus Coeruleus network in mammalian brainstem.
Dr. Medvedev's research is sponsored by National Science Foundation Award #1109367
* G.S. Medvedev and S. Zhuravytska, The geometry of spontaneous spiking in neuronal networks, J. Nonl. Sci., 2012.
* G.S. Medvedev and S. Zhuravytska, Shaping bursting by electrical coupling and noise, Biol. Cybernetics, 2012.
* G.S. Medvedev, Synchronization of coupled limit cycles, J. Nonl. Sci., Volume 21, Number 3, pp. 441-464, 2011.
* P. Hitczenko and G.S. Medvedev, Bursting oscillations induced by small noise, SIAM J. Appl. Math., Volume 69, Issue 5, pp. 1359-1392, 2009.
* G.S. Medvedev and Y. Yoo, Multimodal oscillations in systems with strong contraction, Physica D, 228(2), 87-106, 2007.
* G.S. Medvedev, Reduction of a model of an excitable cell to a one-dimensional map, Physica D, 202(1-2), 37-59, 2005.
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G.S. Medvedev, K. Ono, and P. Holmes,
Traveling wave solutions of the degenerate Kolmogorov-Petrovski-Piskunov equation,
Europ. J. Appl. Math.,
14(3), 343-367, 2003.
*
G.S. Medvedev and N. Kopell,
Synchronization and transient dynamics in the chains of electrically coupled
FitzHugh-Nagumo oscillators,
SIAM J. Appl. Math.,
vol. 61, No. 5, pp. 1762-1801.
* G.S. Medvedev, T.J. Kaper, and N. Kopell, A reaction-diffusion system with periodic front dynamics, SIAM J. Appl. Math., Vol. 60, No. 5, pp. 1601-1638.
Last modified February 9, 2012.