The Belykh Lab

Biological and Engineering Networks Lab

Distinguished University Professor Igor Belykh

Igor Belykh
Our primary research focuses are on complex dynamical networks with applications to neuroscience, biology, ecology, and electrical and mechanical engineering. Our research is supported by the National Science Foundation and US Army Research Office.

Ph.D. Students

Lanjing Bao

Lanjing Bao

Kendal Golden

Kendall Golden

Marrium Shamshad

Marrium Shamshad

Kevin Slote

Kevin Slote

Kelley Smith

Kelley Smith

Undergraduate Students

Andalib Malit Samandari

Andalib Malit Samandari

Visiting Lab Members

Kelvin Rozier

Kelvin Rozier, Ph.D.

Lecturer
Longkun Tang

Longkun Tang, Ph.D.

Associate Professor, Long-term visitor from the School of Mathematical Sciences at Huaqiao University, China

Former Lab Members (We miss you!) [the list is incomplete]

Kevin Daley

Kevin Daley

Received a Ph.D. in Applied Mathematics in Summer 2023. Ph.D. Thesis: "Emergent collective dynamics with applications in bridge engineering and social networks."
First position: National Research Council (NRC) Postdoctoral Fellow, the Naval Research Laboratory, DC, Washington.

Barrett Brister

Barrett Brister

Received a Ph.D. in Applied Mathematics in Summer 2020. Ph.D. Thesis: "Phase clusters and chimeras in networks of Kuramoto oscillators with inertia."
First position: Data Scientist at the Centers of Disease Control and Prevention (CDC) in Atlanta.

Russell Jeter

Russell Jeter

Received a Ph.D. in Applied Mathematics in Spring 2018. Ph.D. Thesis: "The stability and control of stochastically switching dynamical systems."
First position: Postdoctoral Fellow in Machine Learning in Medicine, Department of Biomedical Informatics, Emory University, Atlanta.
Current position: Assistant Professor of Mathematical and Statistical Foundations of Big Data, Department of Mathematics and Statistics, GSU.

Douglas Carter Jr.

Douglas Carter Jr.

Received a Ph.D. in Mathematics in 2016. Ph.D. Thesis: "Synchronization in Dynamical Networks with Mixed Coupling."
First position: Tenure-track Assistant Professor in the Department of Mathematics at Morehouse College in Atlanta.
Sajiya Jalil

Sajiya Jalil

Received a Ph.D. in Mathematics (Bioinformatics Concentration) in 2012. Ph.D. Thesis: "Stability analysis of phase-locked bursting in inhibitory neuron networks."
First position: NIH-funded Postdoctoral Fellow at the University of Texas Health Science Center at Houston.
Kun Zhao

Kun Zhao

Received a Ph.D. in Mathematics (Bioinformatics Concentration) in 2012. Ph.D. Thesis: "Mathematical methods for network analysis, proteomics, and disease prevention."
First position: Senior Bioinformatist (permanent position) at the Centers for Disease Control and Prevention (CDC) in Atlanta.
Reimbay Reimbayev

Reimbay Reimbayev

Received a Ph.D. in Mathematics (Bioinformatics Concentration) in 2017. Ph.D. Thesis: " Synchronization in Neuronal Networks with Electrical and Chemical Coupling."
First position: Visiting Assistant Professor in the Department of Mathematics and Statistics at Auburn University.
Malcom Devoe

Malcom Devoe

Received a M.S. degree in Mathematics (Scientific Computing Concentration) in 2012. M.S. Thesis: "Cellular neural networks with switching connections."
First position: Ph.D. student in Mathematical Education at GSU.
Current position: Professor of Computational Mathematics & Computer Science, Morehouse College.

Victor Bailey

Victor Bailey

NSF REU student.
First position: Ph.D. student in Mathematics at Georgia Tech.
Megan Shellman

Megan Shellman

Undergraduate student funded under a grant from the US Army Undergraduate Research Apprenticeship Program (URAP). Received B.S in Computer Science in 2016.
First Position: Systems Analyst at Cox Automotive Inc. in Atlanta
Shaina Morgan

Shaina Morgan

High school student funded under a grant from the US Army High School Apprenticeship Program (HSAP). Graduated from Westlake High School in 2017.
First Position: Undergraduate student at the University of Georgia.

Jonathan Lopez

Jonathan Lopez

Ratislav Krylov

Ratislav Krylov

Recent News

  • Our lab's alumni, Dr. Russell Jeter received a prestigious 2024 Health Care Innovator of the Year award from the Atlanta Business Chronicle! See the SIAM News online coverage for details on the lab's work related to this recognition.

  • Lanjing Bao's work was featured on the front page of SIAM News!

Recent Publications

  • L. Bao, R. Kuske, D. Yurchenko, and I. Belykh, "Computer-assited global analysis for vibro-impact dynamics: a reduced smooth maps approach," SIAM Journal on Applied Dynamical Systems (2025) (in press). arXiv version: https://arxiv.org/abs/2404.06291

  • R. Jeter, R. Greenfield, S.N. Housley, and I. Belykh, "Classifying residual stroke severity using robotics-assisted stroke rehabilitation: machine learning approach," JMIR Biomedical Engineering, 9:e56980 (2024).

  • L.A. Smirnov, V.O. Munyayev, M.I. Bolotov, G.V. Osipov, and I. Belykh, "How synaptic function controls critical transitions in spiking neuron networks: insight from a Kuramoto model reduction," Frontiers in Network Physiology, 4:1423023 (2024).

Open Positions

There are PhD student positions available in our group. Highly motivated students interested in applied dynamical systems and networks are welcome to apply by e-mail. Funding is also available for undergraduate students.