BiographyI received my PhD in Applied Mathematics from York University, Canada, 2008, after which time I took a one-year postdoctoral research position at the University of Western Ontario, followed by a one-year postdoctoral research position at Memorial University of Newfoundland, and one-year Research Assistant Professorship at The University of Texas at Dallas. I was appointed as Assistant Professor of Mathematics at UTD in 2012.
My main research lies in the broad class of nonlinear analysis and dynamical systems with focus on differential equations with state-dependent delay and their applications in applied sciences. Most of my effort has been devoted to promoting the theory and application of differential equations with state-dependent delay, which have been an challenging, active and frontier research subfield of functional differential equations.
One of my research interests is global Hopf bifurcation theory of delay differential equa- tions. Hopf bifurcation is a phenomenon that periodic oscillations with small amplitudes appear near the stationary point when a certain parameter in the underlying model varies and passes a critical value. Global Hopf bifurcation theory concerns the persistence of the bifurcated periodic oscillations when the parameter is far away from its critical values. Such theories can provide deep insights regarding the onset and termination of oscillatory phenomena in various physical, biological and physiological processes.
Areas of Research / Professional Expertise
His research interests are in the areas of nonlinear analysis and dynamical systems with focus on differential equations with state-dependent time delays.