My research is in the area of nonlinear dynamical systems with focuses on theory on dynamics of networks of differential equations and its applications. Currently, I work on
NSF – Research Initiation Award: Studying the Dynamics of Network Systems by Using
Ordinary Differential Equations and Boolean Frameworks ($283,194). 5/1/2018 – 4/30/2021, PI
Seeds Grant at Texas Southern University ($8,000), 2015.
Y. Wang, K. Chilakamarri, D. Kazakos and M. C. Leite. Relations between dynamics of network systems and their subnetwork systems.AIMS Mathematics, 2(3): 437-450, 2017
Y. Wang, B. Omidiran, F. Kigwe and K. Chilakamarri. Relations between the conditions of admitting cycles in Boolean and ODE network systems, Involve, Vol.10, No.5, (2017),813. DOI 10.2140/involve.2017.10.813 (B. Omidiran and F. Kigwe were two undergraduates).
A. Jacot-Guillarmod, Y. Wang, C. Pedroza, H. Ogmen, Z. Kilpatrick, K. Josic. Extending Levelt’s Propositions to perceptual multistability involving interocular grouping. Vision Research. Volume 133, April 2017, Pages 37-46.
C. Diekman, M. Golubitsky and Y. Wang. Derived Patterns in Binocular Rivalry Networks. J. Math. Neuro. (2013)
C. Diekman, M. Golubitsky, T. McMillen and Y. Wang. Reduction and dynamics of a generalized network with two learned patterns. SIAM J. Appl. Dynam. Sys.11 (4) (2012) 1270-1309.
M. Golubitsky, D. Romano, and Y. Wang. Network Periodic Solution: Rigid phase shift. Nonlinearity. 25 (2012) 1045-1074.
Y. Wang, P.Paszek, C. A. Horton, H. Yue, M. R.White, D.B. Kell, M. R. Muldoon and D.S. Broomhead. A systematic study of the response of a NF-kappaB signalling pathway to TNFalpha stimulation. 297 (2012) 137-147. Journal of Theoretical Biology
Y. Wang, P. Paszek, C. A. Horton, D. B. Kell and M. R. White, D. S. Broomhead and M. R. Muldoon. Interactions among oscillatory pathways in NF-kappaB signalling. 5(23), 2011.BMC Systems Biology