54,814 research outputs found
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
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