Expert tip #3: You can format all the pages in a category using live templates
My research mostly concerns the mathematical modeling, analysis, simulation, and control of systems that exhibit nonlinear dynamics. I'm particularly interested in engineered systems that draw inspiration from the natural world and/or derive energy efficiency from the exploitation of nonlinear phenomena. Some of my interests are described in more detail below.
Differential Geometry provides a common formalism for analytical mechanics and nonlinear control theory. Problems concerning the control of mechanical systems with dynamics that hinge on conservation laws derived from symmetries, on velocity constraints that break symmetries, or on the interplay of the two can be framed elegantly and analyzed systematically using geometric constructs. Models for the locomotion of robotic vehicles can often be framed, for instance, in terms of connections in principal fiber