5 problems

Consider a continuous Rayleigh system $(L,\mathcal{R})$ on $TQ$, where $L$ is natural, meaning that … Here $g$ is a Riemannian metric on $Q$ and $V$ is a function on $Q$. Let…

Piece-wise holonomic systems and smooth non-holonomic systems are considered as models of motion generated by manipulating system components. Ruina's convergence conjecture. The mo…

An optimization fabric is a specification $(\mathbf{M},\mathbf{f})$ which optimizes when forced. A conservative fabric is a fabric defined by an energy-conserving equation of the f…

One-dimensional integrable systems can sometimes be described as geodesic motion on a symmetric space. Symmetric-space geodesic conjecture. This might be the case for all one-dimen…

The discussion concerns mechanical systems described by trajectories on a configuration space equipped with a Jacobi metric or an Eisenhart metric. Let the curvature experienced al…