My research involves using perturbation methods and bifurcation theory to obtain approximate solutions to differential equations arising from nonlinear dynamics problems in engineering and biology. Current projects involve differential equations with delay terms and include applications to MEMS (...
My research involves using perturbation methods and bifurcation theory to obtain approximate solutions to differential equations arising from nonlinear dynamics problems in engineering and biology. Current projects involve differential equations with delay terms and include applications to MEMS (micro electrical mechanical systems), evolutionary dynamics and synchrotron dynamics. These projects are conducted jointly with graduate students and with experts in the respective application area.