We describe a basic framework for studying dynamic scaling that has roots in dynamical systems and probability theory. Within this framework, we study Smoluchowski's coagulat...
We investigate the regularization of Moore's singularities by surface tension in the evolution of vortex sheets and its dependence on Weber number (which is inversely proport...
The bifurcation theory and numerics of periodic orbits of general dynamical systems is well developed, and in recent years there has been rapid progress in the development of a bi...
This paper studies the construction of geometric integrators for nonholonomic systems. We derive the nonholonomic discrete Euler-Lagrange equations in a setting which permits to de...
David Iglesias, Juan C. Marrero, David Martí...