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JNS
2008
44views more  JNS 2008»
13 years 5 months ago
The Scaling Attractor and Ultimate Dynamics for Smoluchowski's Coagulation Equations
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...
Govind Menon, Robert L. Pego
JNS
2008
59views more  JNS 2008»
13 years 5 months ago
The Effect of Surface Tension on the Moore Singularity of Vortex Sheet Dynamics
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...
Francisco de la Hoz, M. A. Fontelos, L. Vega
JNS
2008
63views more  JNS 2008»
13 years 5 months ago
Numerical Continuation of Hamiltonian Relative Periodic Orbits
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...
Claudia Wulff, Andreas Schebesch
JNS
2008
76views more  JNS 2008»
13 years 5 months ago
Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
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...