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 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.
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
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.
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
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.
video was selected as a semi-finalist in the nation-wide 2019 NSF We are Mathematics Video Competition!
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
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.