Here is a recent book chapter I wrote that is available for download free of charge. http://mts.intechopen.com/articles/show/title/analysis-and-control-of-nonlinear-attitude-motion-of-gravity-gradient-stabilized-spacecraft-via-lyapRead more "Book Chapter-Analysis and Control of Nonlinear Attitude Motion of Gravity-Gradient Stabilized Spacecraft via Lyapunov-Floquet Transformation and Normal Forms"
In this new article, we present a straightforward approach to accomplish model order reduction on the invariant center manifold for large-dimensional nonlinear systems subjected to external periodic excitations. This relatively plain and direct approach is applicable to both parametrically excited and constant coefficient nonlinear systems. Our approach is powerful because it is liberated from typical […]Read more "Center Manifold Reduction of Nonlinear Dynamics With External Periodic Excitations"
In my latest article, we present a powerful direct approach to simplify complexly structured nonlinear systems with external periodic excitation via normal forms. This approach is liberated from special treatment of nonlinear systems such as ‘book-keeping’ parameters, detuning parameters etc. It does not mandate the system to be minimally excited and the system may possess […]Read more "Simplifying Nonlinear Systems With External Periodic Excitation"