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.
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
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.
Received a Ph.D. in Applied Mathematics in Spring 2018. Ph.D. Thesis: "The stability and control of stochastically switching dynamical systems."
First position: First position: Postdoctoral Fellow in Machine Learning in Medicine, Department of Biomedical Informatics, Emory University, Atlanta.
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
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
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.
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.
Victor Bailey
NSF REU student.
First position: Ph.D. student in Mathematics at Georgia Tech.
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
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
Ratislav Krylov
Recent News
Our lab
video was selected as a semi-finalist in the nation-wide 2019 NSF We are Mathematics Video Competition!
Our 2017 paper in
Science Advances, "Foot force models of crowd dynamics on a wobbly bridge" has
received a considerable amount of media attention! We have been in
The New York Times,
Physics World, and
Popular Science. Below is a teaser of the project from Igor and Russell:
This paper also received coverage from a television show "Good Morning Russia"
on a national Russian TV channel "Russia One".
It was also featured on the GSU homepage.
Here is a link to the permanent article from GSU.
B. Brister, V. Belykh, and I. Belykh, "When three is a crowd: chaos from clusters of Kuramoto oscillators with inertia," Physical Review E, V. 101, 062206 (2020). PDF
K. Daley, K. Zhao, and I. Belykh, "Synchronizability of directed networks: the power of non-existent ties," Chaos, V. 30, 043102 (2020). PDF
>
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.
