Current Induced Dynamics of One-Dimensional Skyrmions

Dynamics of Baby Skyrmions

Baby Skyrmions are topological solitons in a (2+1)-dimensional field theory which resembles the Skyrme model in important respects. We apply some of the techniques and approximations commonly used in discussions of the Skyrme model to the dynamics of baby Skyrmions and directly test them against numerical simulations. Specifically we study the effect of spin on the shape of a single baby Skyrmi...

One-dimensional measles dynamics

The SEIR model for the transmission dynamics of measles is extended by the addition of second-order space derivatives to enable the geographic spread of the disease in a population which has not been vaccinated against it. The resulting system of three reaction-diffusion equations is solved by a convergent finite-difference technique which is second-order accurate in space and time. A parallel ...

One{dimensional Topological Dynamics

Induced Maps , Markov Extensions and Invariantmeasures in One - Dimensional Dynamics

Geometrically Induced Nonlinear Dynamics in One-Dimensional Lattices

Submitted for the MAR06 Meeting of The American Physical Society Geometrically induced nonlinear dynamics in one-dimensional lattices MERLE D. HAMILTON, O.F. DE ALCANTARA BONFIM, University of Portland — We present a lattice model consisting of a single one-dimensional chain, where the masses are interconnected by linear springs and allowed to move in a horizontal direction only, as in a monora...