Andrey Shilnikov

andrey leonidovich shilnikov

I received PhD in Dynamical Systems from University of Nizhny Novgorod (formerly Gorky) in 1990. The Andronov-Shilnikov school in Gorky had pioneered the qualitative theory of dynamical systems and bifurcations. I am very fortunate to be a member of the famous Gorky school.
Prior to joining GSU in 2000, I was a Royal Society postdoctoral fellow at DAMTP in Cambridge University (UK) and UC Berkeley, and held visiting positions at UC Berkeley, Georgia Institute of Technology, and Cornell University.

I hold a joint appointment at Neuroscience Institute and Department of Mathematics & Statistics. I am also a faculty of Center for Nonlinear Science at Gatech, and a member of Center for Behavioral Neuroscience.
I currently serve on Editorial board of J. Mathematical Neuroscience and J. Frontiers of Applied Mathematics.

Here are my complete CV as well as research and teaching statements.

My original area of expertise is the theory of applied dynamical systems and global bifurcations. I study dynamics and their origin in diversely phenomenological systems and exact models from life sciences. Of my particular interest is a new emergent cross‐disciplinary field known as mathematical neuroscience. Its scopes include nonlinear models of individual neurons and networks. In‐depth analysis of such systems requires the development of advanced analytical tools paired with sophisticated computations. I derive models and create bifurcation toolkits for studying a stunning array of complex activities such as multistability of individual neurons and polyrhythmic bursting patterns discovered in multifunctional central pattern generators governing vital locomotor behaviors of animals and humans

Deterministic chaotic dynamics, Lorenz and any strange attractors with underlying homo- and heteroclinic puzzles are always on my mind.

Prospective PhD candidates, MS and BS students interested in Mathematical Neuroscience, Dynamical Systems and Applied Mathematics: contact me. I have research positions funded by NSF, B&B and NI.

I seek outstanding PhD candidates in mathematical/computational neuroscience and/or applied dynamical systems. Apply through Neuroscience Institiute or Mathematics Department graduate programs.

The books that I have co-authored are available in English (1998, 2001), Russian (2003,2009) and Chinese (2011):

Shilnikov L.P., Shilnikov A., Turaev D. and Chua, L., Methods of Qualitative Theory in Nonlinear Dynamics. Part I . World Sci. 1998
Shilnikov L.P., Shilnikov A., Turaev D. and Chua, L., Methods of Qualitative Theory in Nonlinear Dynamics. Part II. World Sci. 2001

Шильников Л.П., Шильников А.Л., Тураев Д.В., Чуа Л., Методы качественной теории в нелинейной динамике. Часть 1. 2004
Шильников Л.П., Шильников А.Л., Тураев Д.В., Чуа Л., Методы качественной теории в нелинейной динамике. Часть 2. 2009

俄罗斯数学教材选译 2011
非线性动力学定性理论方法(第二卷) 2011

Distinguished University Professor Neuroscience Institute and Department of Mathematics & Statistics, GSU

Distinguished University Professor
Neuroscience Institute and Department of Mathematics & Statistics, GSU