Research Interests: Bio- and Applied Mathematics, Mathematical Neuroscience, Engineering, Applications in Biological and Engineering Networks
I am a Full Professor of Applied Mathematics with a joint appointment at Neuroscience Institute at Georgia State University. I am also an associate member of the Center for Nonlinear Science at Georgia Institute of Technology.
I received a Ph.D. in Applied Mathematics from the Chair of Nonlinear Dynamics and Automatic Control at the University of Nizhny Novgorod, Russia in 2000, under the direction of Professor Leonid P. Shilnikov, the pioneer of homoclinic bifurcation theory. During my Ph.D. studies, I received a prestigous scholarship from the Swiss Confederation and spent an academic year in the Department of Electrical Engineering at Swiss Federal Institute of Technology Lausanne from 1998 to 1999.
Prior to joining Georgia State in 2006, I completed a five-year postdoc in the Laboratory of Nonlinear Systems, joint with the Brain Mind Institute at Swiss Federal Institute of Technology Lausanne ( École Polytechnique Fédérale de Lausanne, EPFL).
I am fundamentally motivated by an interest in using applied and computational mathematics to gain insight into complex biological and man-made systems. My main research interests are in applications of dynamical systems in biology, neuroscience, and engineering, including complex networks, dynamical instabilities in mechanical systems, the origin of motor diseases, locomotion and models of human gait, and robotics. In particularly, I apply rigorous mathematical techniques and computational methods to investigate the interplay between network structure and overall network dynamics, in view of its role in information processing, cooperative behavior, and pattern formation.
My research is supported by the National Science Foundation (2016-2019 grant: DMS-1616345) and the U.S. Army Research Office (2015-2018 grant: No. W911NF-15-1-267).
I serve on editorial boards of six international journals, including the SIAM Journal on Applied Dynamical Systems, International Journal of Bifurcation and Chaos, and IEEE Transactions on Circuits and Systems-I, where I received the Best Associate Editor award for the 2012-2013 term.
Academic Service: Editorial Board Member