Comparing pion production models to MiniBooNE data

Predictions for neutrino-induced charged- and neutral-current single pion production on CH_2 from theoretical models and Monte Carlo event generators are compared with the cross section measurements from the MiniBooNE experiment.Comment: Presented at the Eigth International Workshop on Neutrino-Nucleus Interactions in the Few-GeV Region (NuInt12

Spiralling dynamics near heteroclinic networks

There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of vector fields} on the three-dimensional sphere \EU^3, whose flow has a spiralling attractor containing the following: two hyperbolic equilibria, heteroclinic trajectories connecting them {transversely} and a non-trivial hyperbolic, invariant and transitive set. The spiralling set unfolds a heteroclinic network between two symmetric saddle-foci and contains a sequence of topological horseshoes semiconjugate to full shifts over an alphabet with more and more symbols, {coexisting with Newhouse phenonema}. The vector field is the restriction to \EU^3 of a polynomial vector field in \RR^4. In this article, we also identify global bifurcations that induce chaotic dynamics of different types.Comment: change in one figur